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

Incomplete Question the complete Question with figure is below.

Answer:

Therefore the length of line Segment BC is 20.5 in.

Step-by-step explanation:

Given:

In Right Angle Triangle ABC

∠C = 90°

∠B = 35°

BC = a

AB = hypotenuse = 25

$\cos 35\°=\dfrac{a}{25}$

To Find:

BC = ?

Solution:

In Right Angle Triangle ABC , Using Cosine Identity we get

$\cos B = \dfrac{\textrm{side adjacent to angle B}}{Hypotenuse}$

Substituting we get

$\cos 35 = \dfrac{a}{25}\\\\a=25\times 0.8191=20.47\\\\a=20.5\ in$

Therefore the length of line Segment BC is 20.5 in.

Answer 2

Answer:

20.5

Step-by-step explanation: