Find the value of a in the diagram of the right triangle. Round to the nearest tenth.

Solution:

Given figure represents a right angled triangle

Here, opposite side = 11

Given, angle = 27°

sin 27° = 11/a

Solving for a,

a = 11/sin 27°

So we get,

a = 11/0.454

a = 24.21

Therefore, the value of a is 24

Summary:

The value of a in the diagram of the right triangle, round to the nearest tenth is 24

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