Question

In the triangle below,

y = [ ? ] cm. Round to the
nearest tenth.
15 cm
35
90°

Answer 1

y ≈ 12.3

Explanation:

Using the SOH CAH TOA identity to get the value of y as shown;

sin theta = opposite/hypotenuse

opposite = y

hypotenuse = 15cm

theta = 180-(35+90)

theta = 180-125

theta = 55 degrees

sin 55 = y/15

y = 15sin55

y = 12.287

y ≈ 12.3 (to the nearest tenth)