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:
[tex] tan(B) = \frac{opp.}{adj.} [/tex]
[tex] tan(49.2167) = \frac{10}{a} [/tex]
Multiply both sides by a
[tex] tan(49.2167)*a = \frac{10}{a}*a [/tex]
[tex] tan(49.2167)*a = 10 [/tex]
Divide both sides by tan(49.2167)
[tex] \frac{tan(49.2167)*a}{tan(49.2167)} = \frac{10}{tan(49.2167)} [/tex]
[tex] a = \frac{10}{tan(49.2167)} [/tex]
[tex] a = 8.6 [/tex] (nearest tenth)
