Answer:
<QRP = 48.2°
Step-by-step explanation:
Given:
PR = 18 cm
QR = 12 cm
Required:
<QRP = angle R
Solution:
Reference angle = <R (<QRP)
Adjacent side length = 12 cm
Hypotenuse = 18 cm
Thus:
Cos (R) = 12/18
cos (R) = 0.6667
<QRP = 48.2° (nearest tenth)
Answer:
1.4 hours have elapsed when the father and his son are 20.16 miles apart
Step-by-step explanation:
The son runs at a speed of 8.1 mph.
The father runs at a speed of 6.3 mph.
They run in opposite directions, so per hour, their distance increases at the rate of 8.1 + 6.3 = 14.4 mph.
How many hours will have elapsed when the father and his son are 20.16 miles apart?
Rule of 3.
1 h - 14.4 miles
x h - 20.16 miles
1.4 hours have elapsed when the father and his son are 20.16 miles apart