Question

Can anyone help me?

Answer 1

Given:

A right angle triangle ABC, right angled at C.

To find:

The measure of θ.

Solution:

In a right angle triangle,

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

In triangle ABC,

$\tan \theta=\dfrac{AC}{BC}$

$\tan \theta=\dfrac{2.7}{5}$

$\tan \theta=0.54$

It can be written as

$\theta=\tan^{-1}0.54$

$\theta\approx 28.369$

Therefore, the measure of θ is 28.369.