Find the measure of the missing angles in the triangle below round your answer to the nearest degree

Question

asked Jul 7, 2022 210k views

1 Answer

HoRiz · Answer 1 · 2022-07-11T06:14:44+0000

Answer:

a. 40°

b. 21°

Explanation:

a. Reference angle = θ

Opposite = 5

Adjacent = 6

Apply TOA:

$Tan (\theta) = (Opp)/(Adj)$

$Tan (\theta) = (5)/(6)$

$\theta = Tan^(-1)((5)/(6))$

$\theta = 40$ (nearest degree)

b. Reference angle = x

Opposite = 5

Hypotenuse = 14

Apply SOH:

Sin (x) = (Opp)/(Hyp)

Sin (x) = (5)/(14)

x = Sin^(-1)((5)/(14))

x = 21 (nearest degree)