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=(Opposite)/(Adjacent)`

In triangle ABC,

`\tan C=(AB)/(BC)`

`\tan (16^\circ)=(x)/(7)`

`0.28675=(x)/(7)`

Multiply both sides by 7.

`0.28675* 7=x`

`2.00725=x`

`x\approx 2`

Therefore, the value of x is about 2 units.