Please help with this right triangle problem

Question

asked Sep 17, 2022 218k views

1 Answer

Manuel Martinez · Answer 1 · 2022-09-24T01:46:55+0000

Given:

The figure of a right angle triangle.

To find:

The measure of side AB.

Solution:

In a right angle triangle,

$\cos \theta=(Adjacent)/(Hypotenuse)$

In the given triangle,

$\cos B=(BC)/(AB)$

$\cos (20^\circ)=(7)/(AB)$

$\cos (20^\circ)AB=7$

$AB=(7)/(\cos (20^\circ))$

On further simplification, we get

AB=(7)/(0.93969)

AB=7.449265

$AB\approx 7.45$

Therefore, the measure of AB is 7.45 units.