What is the value of x to the nearest tenth?

Solution:

We have to find the value of x to the nearest tenth.

From the right triangle,

Hypotenuse = x

opposite side = 10

Angle θ = 48 degrees.

By Pythagoras theorem,

sin θ = opposite /hypotenuse

Substituting the values

sin 48 = 10/x

0.7431 = 10/x

So we get

x = 10/0.7431

= 13.457

Therefore, the value of x is 13.46

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What is the value of x to the nearest tenth?

Summary:

The value of x to the nearest tenth is 13.46