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
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:
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
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