Question

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

the options are

A) 21.6 in.
B) 24.2 in.
C) 5.0 in.
D) 12.3 in.

Answer 1

The answer is the option B

`a=24.2\ in`

Explanation:

we know that

In the right triangle of the figure

`sin(27\°)=(11)/(a)`

Solve for a

`a=(11)/(sin(27\°))`

`a=24.2\ in`