Question

Find the value of f, correct to two decimal places.

Answer 1

f = 14.26 m (2 dp)

Explanation:

Sum of interior angles of triangle = 180°

⇒ missing angle = 180 - 40 - 90 = 50°

Using sin(A)/a = sin(B)/b = sin(C)/c

⇒ sin(40)/f = sin(50)/17

⇒ 17sin(40) = f sin(50)

⇒ 17sin(40) ÷ sin(50) = f

⇒ f = 14.26 m (2 dp)