Find the value of x round to the nearest tenth. The diagram is not drawn to scale

finding the missing side in the right angled triangle

Solution:

We can use trigonometric ratios to calculate the required value.

cos θ = adjacent / hypotenuse

From the figure we know that, 

Let us consider adjacent as 11 and hypotenuse as x.

Therefore,

cos θ = 11/x

cos 24° = 11/x

By further calculation, we get

x = 11/0.913

So we get

x = 12.04

finding the hypotenuse with the given sides and angle

Therefore, the value of x is 12.04.

Find the value of x round to the nearest tenth. The diagram is not drawn to scale

Summary:

The value of x round to the nearest tenth is 12.04. We have used trigonometric ratios to calculate the required value.

Math worksheets and
visual curriculum