Question

A drone camera is used to shoot an object P from two different positions R and S along the same vertical line QRS. The angle of depression of the object P from these two positions are 35° and ° respectively as shown in the diagram. If the distance of the object P from point Q is 50 metres, then find the distance between R and S correct to the nearest meter.​

Answer 1

Answer:

hope this answer helps you

Step-by-step explanation:

pls mark me as brainliest

Answer 2

The answer is 52 meters.

GIVEN

Drone camera is used to shoot an object P from two different positions R and S along the same vertical line QRS. The angle of depression of the object P from these two positions are 35° and ° respectively as shown in the diagram. If the distance of the object P from point Q is 50 metres.

TO FIND

Find the distance between R and S

SOLUTION

We can simply solve the above problem as follows;

In ∆PRQ

tan(35) = RQ/PQ

0.7 = RQ/50

RQ = 0.7002 × 50 = 35.01m

In ∆PSQ

tan(60) = SQ/PQ

1.73 = SQ/50

SQ = 1.73 × 50 = 86.5m

RS = SQ - RQ = 86.5 - 35.01 = 51.49 ≈ 52 meter

Hence, The answer is 52 meters.

#SPJ3