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,

$\tan \theta=\dfrac{Opposite}{Adjacent}$

In the given right triangle ABC,

$\tan (A)=\dfrac{BC}{AC}$

$\tan (55^\circ)=\dfrac{BC}{AC}$

$\tan (55^\circ)=\dfrac{15}{AC}$

$AC=\dfrac{15}{\tan (55^\circ)}$

On further simplification, we get

$AC=\dfrac{15}{1.428148}$

$AC=10.503113$

$AC\approx 10.5$

The length of side AC is equal to 10.5 m .

Therefore, the correct option is A.