Question

A girl is observing a ball from the balcony which is 30 m above from the ground (see the below

figure) and the angle of depression of the ball is (theta) such that sec3(theta) = cosec2(theta)find the

of line of sight of ball.​

Answer 1

hope it ma help you to understand

Answer 2

Answer:

The measure of line of sight is 30 cosec α .

Step-by-step explanation:

Given as :

The distance between ball and horizontal balcony sight = BC = 30 m

The angle of depression on ball = α

Such that sec 3α = cosec 2α

Let The measure of line of sight = AC

According to figure

Sin angle = $\dfrac{perpendicular}{hypotenuse}$

or, sin α = $\dfrac{BC}{AC}$

Or, sin α = $\dfrac{30}{AC}$

Or, AC = 30 cosec α

So, The measure of line of sight = AC = 30 cosec α

Hence, The measure of line of sight is 30 cosec α . Answer