Question

I need help for real, no helpless answers please!

Answer 1

Given:

m∠R = 90°

m∠Q = 6°

PQ = 2.2 ft

RP = x

To find:

The length of RP.

Solution:

Using basic trigonometric formula:

$\sin \theta =\frac{\text{Opposite of} \ \theta}{\text{Hypotenuse}}$

$\sin 6^\circ =\frac{x}{2.2}$

$0.1=\frac{x}{2.2}$

Multiply by 2.2 on both sides.

$0.1\times2.2=\frac{x}{2.2}\times2.2$

$0.22=x$

$0.2=x$ (nearest tenth)

The length of RP is 0.2 feet.