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The equation tan(55 degree) equals StartFraction 15 Over b EndFraction can be used to find the length of Line segment A C. Triangle A B C is shown. Angle B C A is a right angle and angle B A C is 55 degrees. The length of A C is b and the length of hypotenuse B C is 15 centimeters. What is the length of Line segment A C? Round to the nearest tenth. 3.0 in. 9.8 in. 10.5 in. 12.8 in.

2 Answers

1 vote

Answer:

10.5 in

Explanation:

User Alyx
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5 votes

Answer:

10.5 in

Explanation:

The correct question is

The equation tan(55 degree) equals StartFraction 15 Over b EndFraction can be used to find the length of Line segment A C. Triangle A B C is shown. Angle B C A is a right angle and angle B A C is 55 degrees. The length of A C is b and the length of B C is 15 inches. What is the length of Line segment A C?

Note: BC is not the hypotenuse of the right triangle ABC

see the attached figure to better understand the problem

In the right triangle ABC of the figure

we know that


tan(55^o)=(BC)/(AC) ----> by TOA (opposite side divided by the adjacent side)


tan(55^o)=(15)/(b)

solve for b


b=(15)/(tan(55^o))


b=10.5\ in

The equation tan(55 degree) equals StartFraction 15 Over b EndFraction can be used-example-1
User Hiedi
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