# Trigonometry

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A ladder that is 15 feet long is placed so that it reaches from level ground to the top of a vertical wall that is 13 feet high
A. Use the law of sines to find the angle that the ladder makes with the ground to the nearest hundredth

• Trigonometry -

A rt triangle is formed:

hyp. = 15 Ft. = Length of ladder.
Ver. side = 13Ft.

A. sinA / 13 = sin90 / 15.
sinA = 13*sin90 / 15 = 60.07 Deg.

B. The bottom of the ladder can be moved closer to are farther from the
bottom of the wall. But the hor. and
ver. side should always be > 0 to keep
the rt triangle.

• Trigonometry -

CORRECTION: sinA=13*sin90/15 = 0.8666.
A = 60.07 Deg.

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