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

Solution:

We know that

Tangent is defined as the ratio of the opposite side to the adjacent side of a specific angle of a right-angled triangle.

It can be written as

tan θ = x/5

Here the value of θ = 25

Substituting it we get

tan 25 = x/5

By cross multiplication

x = tan 25 × 5 

So we get

x = 0.466 × 5

x = 2.331 = 2.3

Therefore, the value of x is 2.3.

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

Summary:

The value of x is 2.3 rounded to the nearest tenth.