Question

The equation cos (35 degree) equals StartFraction a Over 25 EndFraction can be used to find the length of Line segment B C. What is the length of Line segment B C? Round to the nearest tenth.

Answer 1

20.5

Explanation:

Answer 2

Incomplete Question the complete Question with figure is below.

Answer:

Therefore the length of line Segment BC is 20.5 in.

Explanation:

Given:

In Right Angle Triangle ABC

∠C = 90°

∠B = 35°

BC = a

AB = hypotenuse = 25

`\cos 35\°=(a)/(25)`

To Find:

BC = ?

Solution:

In Right Angle Triangle ABC , Using Cosine Identity we get

`\cos B = \frac{\textrm{side adjacent to angle B}}{Hypotenuse}\\`

Substituting we get

`\cos 35 = (a)/(25)\\\\a=25* 0.8191=20.47\\\\a=20.5\ in`

Therefore the length of line Segment BC is 20.5 in.