Question

What is the length of Ac? Round to the nearest tenth.

Answer 1

Given:

The figure of a right angle triangle.

To find:

The length of the line segment AC.

Solution:

In a right angle triangle,

`\tan \theta=(Opposite)/(Adjacent)`

In the given right triangle ABC,

`\tan (A)=(BC)/(AC)`

`\tan (55^\circ)=(BC)/(AC)`

`\tan (55^\circ)=(15)/(AC)`

`AC=(15)/(\tan (55^\circ))`

On further simplification, we get

`AC=(15)/(1.428148)`

`AC=10.503113`

`AC\approx 10.5`

The length of side AC is equal to 10.5 m .

Therefore, the correct option is A.