Question

The diagram shows a right angled triangle

What is the value of h?
Give your answer to 1 decimal place

Answer 1

Below.

Explanation:

In a right triangle:

sin x = opposite side / hypotenuse

cos x = adjacent side / hypotenuse

tan x = opposite side / adjacent side

In this triangle the hypotenuse = 12 and the adjacent side = h

so we use cos 47

cos 47 = h / 12

h = 12 cos 47

h = 8.2 cm.