in Δ PQR, side Q = 25, m < P = 13 * and m < Q = 70*. Find side P to the nearest tenth of an integer

The answer to your question is p = 6.0 (real value 5.98)

Step-by-step explanation:

Data

q = 25

∠P = 13°

∠Q = 70°

p = ?

In this kind of problem, the length of the sides is written in lowercase letters and the angles in Upper case letters.

Process

1. - To solve this problem use the law of sines.

p/sin P = q/sin Q

-Solve for p

p = q sin P / sin Q

- Substitution

p = 25 sin 13 / sin 70

-Simplification

p = 25 (0.225) / (0.9397)

p = 5.6237 / 0.9397

- Result

p = 5.9846

Rounded to the nearest tenth

p = 6.0

6.0

Step-by-step explanation:

25/sin (80) = p/sin (13)

p = sin (13) * 25/sin (80)

p = 5.984697798