Question

I need helpp i’m struggling with this

Answer 1

Given:

The figure of a right angle triangle ABC.

AB = x, BC=7, m∠B = 90°, ∠C=16°.

To find:

The value of x.

Solution:

In a right angle triangle,

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

In triangle ABC,

$\tan C=\dfrac{AB}{BC}$

$\tan (16^\circ)=\dfrac{x}{7}$

$0.28675=\dfrac{x}{7}$

Multiply both sides by 7.

$0.28675\times 7=x$

$2.00725=x$

$x\approx 2$

Therefore, the value of x is about 2 units.