How long is a ladder that reaches a height of 4.25 m at an angle of elevation of 71°?
b. 47.5°
c. 1.46 m
a. 13.05 m
d. 3.19 m
b. 4.49 m
To find the length of the ladder, we can use the trigonometric function tangent.
tan(angle of elevation) = opposite / adjacent
tan(71°) = 4.25 m / adjacent
Solving for the adjacent side:
adjacent = 4.25 m / tan(71°)
Using a calculator:
adjacent ≈ 1.46 m
Therefore, the length of the ladder is approximately 1.46 m.
The correct answer is c. 1.46 m.