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Trigonometry

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Right Triangle, Sine Function, Ladder Problem, Unknown Hypotenuse

TRIG-WEKBZ7

Santiago was preparing to purchase a new ladder to reach the top of a 30-foot wall. He was looking at a ladder when he noticed this warning label on the ladder:

CAUTION: Never exceed an angle of elevation of ${70}^{o}$.

If Santiago purchased the ladder and followed the safety warning, how long must the ladder be to reach to the top of the wall (round up to the next larger foot)?

A

$ x=32\; \text{feet}$

B

$ x=39\; \text{feet}$

C

$ x=48\; \text{feet}$

D

$ x=29\; \text{feet}$