A ladder leans against the side of a house. The angle of elevation of the ladder is 73°, and the top of the ladder is 14 ft abov

Question

3 years ago

13

e the ground. Find the distance from the bottom of the ladder to the side of the house. Round your answer to the nearest tenth.

1 answer:

Elena L [17] · Answer 1 · 2022-10-01T23:38:10+03:00

Answer:

4.3 feets

Step-by-step explanation:

Given that:

Angle of elevation = 73°

Horizontal distance from foot of ladder to bottom of wall = x feets

Height of ladder = 14 feets

The horizontal distance, x :

Using trigonometry :

Tan θ = opposite / Adjacent

Tan θ = 14 / x

Tan 73 = 14 / x

3.2708526 * x = 14

x = 14 / 3.2708526

x = 4.2802295

x = 4.3 feets