Question

HI HELP ASAP PLEASE EXPLAIN HOW TO DO STUFF LIKE THIS PLEASE HELP

Answer 1

Given:

∠A = 66°

AB = 5 mi

To find:

The distance from point B to point C.

Solution:

Using trigonometric ratio formula:

$\tan \theta=\frac{\text { Opposite side of } \theta}{\text { Adjacent side of } \theta}$

$\tan A =\frac{\text { Opposite side of } A }{\text { Adjacent side of } A}$

$\tan 66^\circ =\frac{BC}{AB}$

$2.25 =\frac{BC}{5}$

Multiply by 5 on both sides.

$5\times 2.25 =5\times \frac{BC}{5}$

$11.2 = BC$ (nearest tenth)

The distance from point B to point C is 11.2 mi.