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Trigonometry

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Right Triangle, Sine Function, Ladder Problem, Unknown Side

TRIG-WRXK@P

Santiago was preparing to purchase a new ladder. He was looking at a $\text{ 25 foot}$ 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 far up a wall would the ladder reach (round to the nearest tenth of a foot)?

A

$ x=19.3\; \text{feet}$

B

$ x=23.5\; \text{feet}$

C

$ x=68.7\; \text{feet}$

D

$ x=26.6\; \text{feet}$