Question

If b=49 degrees 13' and b=10 find a

Answer 1

B.

Explanation:

8.6

Answer 2

b. 8.6

Explanation:

Given:

B = 49° 13'

b = 10

Required:

Find a

SOLUTION:

The reference angle given = 49° 13'. Converted to degrees, we have 49.2167°.

b = Opposite side to the reference angle B = 10

a = adjacent side to angle B = ?

To find a, apply the following trigonometric ratios formula:

`tan(B) = (opp.)/(adj.)`

`tan(49.2167) = (10)/(a)`

Multiply both sides by a

`tan(49.2167)*a = (10)/(a)*a`

`tan(49.2167)*a = 10`

Divide both sides by tan(49.2167)

`(tan(49.2167)*a)/(tan(49.2167)) = (10)/(tan(49.2167))`

`a = (10)/(tan(49.2167))`

`a = 8.6` (nearest tenth)