A film crew is filming an action movie, where a helicopter needs to pick up a stunt actor located on the side of a canyon. The stunt actor is 20 feet below the ledge of the canyon.
The helicopter is 30 feet above the ledge of the canyon.
Which of the following expressions represents
the length of rope that needs to be lowered
from the helicopter to reach the stunt actor?
feet
35-
30-
25
-20 + 30
20 – 30
20
|-20) - 130
-20| + |30|
15
10
5
0-
-5
-10
-15-

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).