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Sergeeva-Olga [200]
3 years ago
7

A pole that is 3.1 m tall casts a shadow that is 1.18 m long.At the same time , a nearby tower casts a shadow that is 35.75 m lo

ng. How tall is the tower? Round the nearest meter.
Mathematics
1 answer:
Georgia [21]3 years ago
7 0

Answer:

94 m

Step-by-step explanation:

Write a proportion:

3.1 / 1.18 = x / 35.75

Cross multiply and solve:

1.18x = 3.1 × 35.75

1.18x = 110.825

x ≈ 94

Rounded to the nearest meter, the height of the tower is approximately 94 meters.

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Applying the linear pair theorem, the measure of angle TSV in the image given is: 86°.

<h3>How to Apply the Linear Pair Theorem?</h3>

Given the following angles in the image above:

Measure angle RSU = (17x - 3)°,

Measure angle UST = (6x – 1)°

To find the measure of angle TSV, we need to find the value of x in the given expressions as shown below:

m∠RSU + m∠UST = 180 degrees (linear pair]

Substitute the values

17x - 3 + 6x - 1 = 180

Solve for x

23x - 4 = 180

23x = 180 + 4

23x = 184

x = 8

m∠TSV = 180 - 2(m∠UST) [Linear Pair Theorem]

m∠TSV = 180 - 2(6x - 1)

Plug in the value of x

m∠TSV = 180 - 2(6(8) - 1)

m∠TSV = 86°

Therefore, applying the linear pair theorem, the measure of angle TSV in the image given is: 86°.

Learn more about the linear pair theorem on:

brainly.com/question/5598970

#SPJ1

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