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2 years ago

Hey can you please give me the answer to this?

Mathematics

1 answer:

Olegator [25]2 years ago

5 0

The height of the tower is 452.66 ft

<h3>What is angle of elevation and depression?</h3>

The angle formed by the line of sight and the horizontal plane for an object above the horizontal.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line.

Given:

we have two angles one of which is angle of elevation and another angle depression.

Using trigonometric ratio,

tan ∅ = P / B

tan 32° = h / 425

0.624= h /425

h= 265.569 ft

again,

tan 29° = h(bottom of the tower) / 425

h(bottom of the tower) = 425 × tan 29°

h(bottom of the tower) = 235.581 ft

Thus, Height of tower = h(top of the tower) + h(bottom of the tower)

Height of tower = 265.569 + 235.581

Height of tower = 501.15 ft

Learn more about this concept here:

brainly.com/question/20890484

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You might be interested in

Find the circumference of a circle with radius 10.3 feet . Round your answer to two decimal places.

patriot [66]

C= 2πr

r= 10.3ft

π= 22/7

C= 2×22/7 × 10.3

C= 64.74 feet

5 0

3 years ago

Read 2 more answers

The managers of 21 supermarkets counted the number of cars in their parking lots on the same day. The results are shown in the l

mixer [17]

The IQR is 42.5

Step-by-step explanation:

Interquartile range is the difference of third and first quartile.

First of all we have to find the median for that purpose the data has to be arranged in ascending order. The data is already in ascending order.

As the number of values are odd

n=21

The median will be: $(\frac{n+1}{2}) th\ term$

Putting n=21

$(\frac{21+1}{2})th\ term\\=(\frac{22}{2})th\ term\\= 11th\ term$

The 11th term is 133

So median = 133

Now the data is divided into two halves

One is: 98, 100, 101, 102, 108, 109, 111,118, 129, 132

2nd is: 135, 135, 145, 146, 146, 156, 170 176, 180, 180

Q1 will be the median of first half and Q3 will be the median of 2nd half.

As now the halves contain even number of values, the medians will be the average of middle two values

<u>For First Half:</u>

98, 100, 101, 102, <u>108, 109</u>, 111,118, 129, 132

$Q_1 = \frac{108+109}{2}\\Q_1 = \frac{217}{2}\\Q_1 = 108.5$

<u>For Second Half:</u>

135, 135, 145, 146, 146, 156, 170 176, 180, 180

$Q_2 = \frac{146+156}{2}\\Q_2 = \frac{302}{2}\\Q_2 = 151$

Now

<u>Interquartile Range:</u>

$IQR = Q_3-Q_1\\= 151-108.5\\=42.5$

Hence,

The IQR is 42.5

Keywords: Median, IQR

Learn more about median at:

#LearnwithBrianly

7 0

3 years ago

Eight minus a number divided by three is greater than or equal to eleven

AfilCa [17]

Answer:

Step-by-step explanation:

8-x/3>=11 is the equation, and the answer is:

x<= -9, so any number less than -9 is correct.

5 0

3 years ago

Read 2 more answers

Thomas’s gross salary in 2017 was $68,000. If he qualifies for an $8,350 exemption when filing his taxes, how much does he owe f

aalyn [17]

Answer: $14,912.5

Step-by-step explanation:

given data:

thomas salary in 2017 = $68,000

exemption = $8,350

solution:

thomas taxable income

= salary in 2017 - tax exemptions

= $68,000 - $8350

= $59,560

federal income tax = 25%

= 0.25 * $59,560

= $14,912.5

thomas Owe’s $14,912.5 in federal Income tax at the end of the year.

5 0

3 years ago

Solve for x. The polygons in each pair are similar.

Nonamiya [84]

If each is similar, then 6 times (5) = 30
therefore 8 times (5) = 6X - 8
40 = 6X - 8
add 8 to both sides 48 = 6X
divide by 6 8 = X

3 0

3 years ago