Question

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.

Answer 1

10.5 in

Explanation:

Answer 2

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`