From an 80ft building the angle of elevation of the top of a taller building is 59 degrees and the angle of depression of the base of this building is 65 degrees determine the height of the taller building

Answers

Answer 1

Answer:

First we find the distance between the two buildings =

Step-by-step explanation:

[tex] \frac{80}{ \tan(65) } = 37.3 ft[/tex]

then the upper part of the taller building =

[tex]37.3 \times \tan(59) = 62 \: ft[/tex]

Now the total height of the taller building

[tex]80 + 62 = 142 \: ft[/tex]


Related Questions

Select the correct answer.
Consider the graph below. Which of the following piecewise functions is shown in the given graph?

Answers

Answer:

f(x)=x^2+3

[tex]f(x) = x^{2} + 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: x < 1 \\ \\ f(x) = - 2x + 5 \: \: \: \: \: \: \: \: \: \: \: \: \: x \geqslant 1[/tex]

Evaluate the expression when m=4.
m^2 + 6m + 8

Answers

Answer:

According to me,

48 is the answers

What is the approximate area of the circle shown below?

Answers

Answer:

A = 616 cm^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi (14)^2

A = pi (196)

Using 3.14 as an approximation for pi

A = 3.14 *196

A =615.44

The nearest approximation is

A = 616 cm^2

Answer:

D 616 cm^2

Step-by-step explanation:

Area = pi r^2

= 14^2 * 3.142

= 615.832

solue for &
X(3 + X) = 3x + x²

Answers

3x+x^2=3x+x^2

3x-3x=x^2-x^2

which means x=0

what is the side length of the square in cm

Answers

Answer:

8.4 cm^2

Step-by-step explanation:

The area of the rectangle is

A = lw

A = 3x *5x = 15x^2

126 = 15x^2

126/ 15 =15x^2/15

42/5 = x^2

We want to find the area of the square

A = l*w

A = x*x

A = x^2 = 42/5 = 8.4 cm^2

what is the answer to x if 2x = 7

Answers

I think the answer is 3.5
If you divide 2 from 7 it gives you 3.5 and to double check 2x3.5 it gives 7

what is the value of x in a decagon

Answers

Answer:

x = 54

y = 144

Step-by-step explanation:

y = (10-2)×180/10 = 144

x = 180-90-(180-144) = 54

Answered by GAUTHMATH

can someone help me solve this?​

Answers

Which one of both??

Sorry

Answer: -17, 17, -3, 3, -7, 7,

Step-by-step explanation:

Find all Factors of -18, (got -18 from multiplying 6 and -3)

Add the factors together. (+/- 6 and +/- 3), (+/-9 and +/-2), (+/-18 and +./-1)

Several days after a wedding, an outbreak of cyclosporiasis occurred among attendees. Of the 108 guests at the wedding, 76 were ill and met the case definition. 50 of the 76 who were ill ate the wedding cake. Three of those who were well ate the wedding cake. What is the attack rate for those who ate the wedding cake

Answers

Answer:

The answer is "94.3".

Step-by-step explanation:

Calculating the total numbers of cake eaters[tex]=50+3=53\\\\[/tex]

Calculating the total numbers of ill among them[tex]=50\\\\[/tex]

[tex]\therefore[/tex]

The attack rate for those who ate cake[tex]=\frac{50}{53}\times 100\%=94.3[/tex]

Use the distributive property to write an expression that is equivalent to the sum of 9 and 54.
9(1+6)
919+6)
9(1 +54)
9(1) + 9(54)

Answers

Answer:

9(1 +6)

Step-by-step explanation:

9 = 9 * 1

54 = 9 * 6

9 + 54 = (9*1 ) + (9*6)      {9 is common in both terms}

           = 9*(1 + 6)

Help anyone can help me do this question,I will mark brainlest.​

Answers

Step-by-step explanation:

we first find area of the whole shape outer core which is

we use the fomulae of a circle 22/7 represent pie

=1/2 *22/7*8,5

=13,36

then we find the inner core of the shape which is

1/2*22/7*5,5

=8,64

then we substracte to get the shaded part 13,36-8,64

=4,72cm

Answer:

≈ 16.5 cm²

Step-by-step explanation:

The area of the bar (A) is

(area of outer circle - area of inner circle) ÷ 2

r₂ = 8.5 ÷ 2 = 4.25 , r₁ = 5.5 ÷ 2 = 2.75 , then

A = (πr₂² - πr₁²) ÷ 2

   = (π(r₂² - r₁²) ) ÷ 2

   = (π(4.25² - 2.75²) ) ÷ 2

   = (π(18.0625 - 7.5625) ) ÷ 2

   = (10.5π)÷ 2

   ≈ 16.5 cm² ( to the nearest tenth )

[tex]\sqrt{9\\[/tex]

Answers

Answer: 3

Step-by-step explanation:

The check mark with the line is a sauare root symbol. It means find the square root of the number next to it. The square root of something is a number times the same number to get the number. For example, the square root of 16 is 4 because 4x4 is 16. 3x3 is 9 so that’s the square root.

Does this graph represent a function? Why or why not?

A. No, because it is not a straight line.
O B. Yes, because it passes the horizontal line test.

Answers

Where’s the graph????????????

If z is a standard normal variable, find the probability.
The probability that z lies between -1.10 and -0.36.

0.2239

-0.2237

0.2237

0.4951

Answers

Answer:

Step-by-step explanation:

We are looking for the probability that (-1.10 < z < -.36)

The z score for -1.10 = .13567 and

the z score for -.36 = .35942

To find the probability that z will fall in between them, subtract the smaller from the larger to get .2237, or 22.37%

Select the correct answer.
Which is the correct simplified form of the expression ?
A.

B.

C.

D.

Answers

Answer:

it should be letter b sorry if its wrong

the answer should be choice B

how can we prepare for exam when 15 day are left

Answers

Answer:

1st step, DON'T PANIC. You have plenty of time to study. When it's a big exam, I like to set aside 2 hours daily for studying. If you're confused by certain topics, watch a video or ask your professor how to properly complete the answer. One college tip I learned: ALWAYS ASK THE PROFESSOR IF YOU GET CONFUSED WHILE STUDYING! They can help clear up problems you have. On the night before the exam, make sure you get a good night's rest. On the day of your exam, make sure to eat a good breakfast.

You have plenty of time, you got this! :)

1. Have some healthy food...or junk food or food that you love... because with a hungry stomach no one can study...

2. Take a break after every 15min... while studying..

3. Call your friends and study together...i.e. make a study circle...

4.Study loudly and faster...

At last..if you feel you're prepared then... good..if not.. then have a corner and weep and cry...or

5. have advice of your best friend or genius friend... if he or she didn't picks up phone then again cry because he or she is studying seriously with concentration so he or she will not pick up your phone...

6. At last pick up your all the methods of cheating...

hope it helps..

Green Forest Park’s walking trail is 3.218 km. long. Blue Lake Park's walking trail is 2.414 km. long. How much longer is Green Forest Park’s trail than Blue Lake Park’s trail? GIVING 20 POINTS

Answers

Answer:

0.804

Step-by-step explanation:

Subtract 3.218 by 2.414

If the absolute value of x is 12, which of the following is true?

X can be 12 or -12

X=12

X=-12

X is zero

Answers

Answer:

x= 12  or x = -12

Step-by-step explanation:

|x| means take the positive value of x

|x| =12

We make two equations one positive and one negative

x= 12  or x = -12

Answer:

x can be 12 or -12

Step-by-step explanation:

|x| = 12

|(-12)| = 12

-12 or 12

ITS TIMED HELP!!!
Assuming x and y are two odd numbers and x/y is an integer. Which of the following statements are true?
1: x + y is odd.
2: xy is odd.
3: x/y is odd.
4: x-y is odd.

A: 1 and 2 only.
B: 1 and 3 only.
C: 2 and 3 only.
D: 2, 3, and 4 only.
E: 2 and 4 only.​

Answers

Answer:

C

Step-by-step explanation:

1: x + y is even. Try it. 3 + 5 = 8. 2x + 1 + 2y + 1 = 2x +2x + 2. That's even no matter what 2 odd numbers you use.

2: xy is again try it 3 * 5 = 15 which is odd. (2x + 1)(2y + 1) = 4xy + 2x + 2y + 1. The first 3 terms are even. The last one is odd. So xy is odd.

3. 9/3 = 3. Three should be true. The numerator is greater than the denominator. And x/y is given as an integer. So the statement should be true.

4. x - y is This can't be right. 2x + 1 - 2y - 1 = 2x + 2y. The result is even.

2 and 3 only

Please answer ASAP!!! A ski store has 60 different boots available, 30 different pairs of skis, and 40 different hats.

If a customer were to only buy ONE item, how many different ways can a customer purchase an item from the store?

Answers

In this question, the client will buy one item, which is composed by a boot, a pair of skis and a hat. Since the items are independent, the fundamental counting principle can be used.

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In this question:

60 boots, 30 pairs of skis, 40 hats. So

60*30*40 = 72,000

The customer can purchase an item in 72,000 ways from the store.

For another example of the fundamental counting principle, you can check https://brainly.com/question/24067651

A portion of the Quadratic Formula proof is shown. Fill in the missing statement. Statements Reasons x² + x + b 4ac 4a? b? 4a² Find a common denominator on the right side of the equation a 2a X? + b 2a b? =4ac 4a? Add the fractions together on the right side of the equation a b2 - 4ac x+ Rewrite the perfect square trinomial on the left side of the equation as a binomial squared 2a 4a 2 Take the square root of both sides of the equation Vb -4ac x+ b 2a + 4a b - 4ас X + 2a + 4a 4ac + 2a 4a 1o ano 4a​

Answers

Answer:

The fourth option.

x + b/2a = +- sqrt((b^2 - 4ac)/(4a^2))

Step-by-step explanation:

A= 8x³ - 36x² + 54x - 27
A = ( ? x -?)³

Answers

Answer:

[tex](2x-3)^{3}[/tex]

Step-by-step explanation:

2x * 2x * 2x would get the 8x^3

the -3 * -3 * -3  would get the -27

if you do all the other multiplications -36x^2 and 54 X would result

Anne bought 9m of ribbon.She used 1/3 of it to wrap some presents and gave 1/2m to her sister.How much ribbon Anne have?

Answers

Answer:

3 meters of ribbon left

Step-by-step explanation:

Since she used 1/3 of the ribbon. Do the following:

1/3 of 9 (Which equates to):

9/3 = 6 (6 meters of ribbon left)

Now do 1/2 of 6, as she gave her sister 1/2 of the remainder.

1/2 of 6 (Which equates to):

6/2 = 3 (3 meters of ribbon left)

Solve the equation.

Distribute: 4-2(x+7) = 3(x+5)
Combine Terms: 4-2x-14 = 3×+15
-10-2×= 3×+15
+10 +10
_______________
-2× = 3× + 25
-3x -3x
___________________
-5× = +25
÷ -5 ÷ -5
_____________________
ANSWER : x = -5

Part 2 : What is the value of x for the given equation ?
4-2(×+7)=3(×+5)
ANSWER : × = -5 ​

Answers

Answer:

- 5

Step-by-step explanation:

Solve for x

4-2(×+7)=3(×+5)

We open the bracket :

4 - 2x - 14 = 3x + 15

Collect like terms

-2x - 3x = 15 + 14 - 4

-5x = 25

Divide both sides by - 5

-5x/-5 = 25 / - 5

x = - 5

Which expression is equivalent to
(4x2x3)(3x*y)2?

Answers

Answer:

48(3xy)

Step-by-step explanation:

(4 * 2 * 3)(3xy)2

24(3xy)2

48(3xy)

find the angle measures given the figure is a rhombus.​

Answers

Answer:

92

Step-by-step explanation:

180-88

Factor 16p4 - 24p3. find the factor

Answers

Answer:

8p^3 ( 2p -3)

Step-by-step explanation:

16p^4 - 24p^3

8*2* p^3 *p - 3*8*p^3

Factor out the common terms

8p^3 ( 2p -3)

Solve the following given problem

Answers

Answer:

The radius is 3.5cm

Step-by-step explanation:

Given

[tex]V = 192.5cm^3[/tex]

[tex]h = 5cm[/tex]

Required

The volume (V)

The volume of the vase is:

[tex]V = \pi r^2h[/tex]

So, we have:

[tex]192.5 = 22/7 * r^2 * 5[/tex]

Divide by 5

[tex]38.5 = 22/7 * r^2[/tex]

Multiply by 7/22

[tex]12.25= r^2[/tex]

Take positive square roots

[tex]r = 3.5[/tex]

given a sphere with a radius of m. what is the locus of the midpoints of the radii of the sphere?​

Answers

Answer:

The locus of the midpoints of the radii of the sphere is a sphere half the radii M of the given sphere and having the same center as of the given sphere.

Step-by-step explanation:

Help with both plz :)

Answers

Step-by-step explanation:

Concept Required :-

BODMAS

Brackets , Of , Division , Multiplication , Addition , Subtraction .

Solution 9:-

We are here given ,

32 ÷ 10 - 8 ÷ 2 -3

Putting brackets after and before 10 -8

32 ÷ ( 10 - 8 ) ÷ 2 - 3

On simplifying,

32 ÷ 2 ÷ 2 - 3 16 ÷ 2 - 3 8 - 3 5

Expression :- 32 ÷ (10 -8) ÷ 2 - 3

Solution 10 :-

We are given,

1/2 × 12 ÷ 2 - 2 + 11

Putting brackets ,

1/2 × ( 12 ÷ 2 - 2 ) + 111/2 ( 6 - 2 ) + 111/2 × 4 + 112 + 1113

Expression :- 1/2 × (12 ÷ 2 - 2 ) +11

Step-by-step explanation:

1. 32 ÷ 10 - 8 ÷ 2 - 3

32 ÷ 2 ÷ 2 - 3

16 ÷ 2 - 3

8 - 3

5

2.

½ × 12 + 2 - 2 + 11

6 + 2 - 2 + 11

19 - 2

17

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