Question

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

Answer 1

Answer:

b. 8.6

Step-by-step 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:

$tan(B) = \frac{opp.}{adj.}$

$tan(49.2167) = \frac{10}{a}$

Multiply both sides by a

$tan(49.2167)*a = \frac{10}{a}*a$

$tan(49.2167)*a = 10$

Divide both sides by tan(49.2167)

$\frac{tan(49.2167)*a}{tan(49.2167)} = \frac{10}{tan(49.2167)}$

$a = \frac{10}{tan(49.2167)}$

$a = 8.6$ (nearest tenth)