Question

Find x and round to the nearest tenth

Answer 1

The answer is

x = 38.7°

Explanation:

Since the triangle is a right angled triangle we can use trigonometric ratios to find the value of x

To find the value of x we use tan

`\tan(\theta) = (opposite)/(adjacent)`

From the question

the opposite is 12

the adjacent is 15

We have

`\tan(x) = (12)/(15) \\ x = \tan^( - 1) ( (12)/(15) ) \\ x = 38.659808`

We have the final answer as

x = 38.7°

Hope this helps you