Question

F

14 cm
8 cm
xº
Find the size of angle x.
Give your answer correct to 1 decimal place.

Answer 1

`x = 34.8^\circ`

Explanation:

Given

See attachment for triangle

Required

Find x

To do this, we simply apply sin formula which is:

`sin(\theta) = (Opposite)/(Hypotenuse)`

In this case, it is:

`sin(x) = (8)/(14)`

`sin(x) =0.5714`

Take arcsin of both sides

`x = sin^(-1)(0.5714)`

`x = 34.84791`

`x = 34.8^\circ` --- approximated