Aladder leans against the side of a house. the angle of elevation of the ladder is 72° when the bottom of the ladder is 14 ft from the side of the house. find the length of the ladder. round your answer to the nearest tenth.

Length of ladder = 45.30 ft

Step-by-step explanation:

Given data:

Distance between the bottom of the ladder and side of house = 14 ft

Angle of elevation of the ladder = 72°

To find length of the ladder.

From the data given to us we can construct a right triangle ABC.

For the Δ ABC

AC= 14 ft

∠A= 72°

We can apply trigonometric ratio to find side AB which is the length of the ladder.

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Multiplying both sides by AB.

Dividing both sides by cos72°

Substituting value of AC and cos 72°

Thus, length of the ladder = 45.30 ft

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step-by-step explanation:

this is answer of 144 cubic meters