Question

Find the value for the side marked below.

Round your answer to the nearest tenth.
у
100
49°
y = [?]

Answer 1

y = 75.5

Explanation:

Reference angle (θ) = 49°

Hypotenuse = 100

Opposite = y

Apply trigonometric function, SOH. Which is:

Sin θ = Opp/Hyp

Plug in the values

Sin 49 = y/100

100*Sin 49 = y

y = 75.5 (nearest tenth)