Question

17. From the top of a hill, an eagle spots a mouse
on the ground, making an angle of depression
of 30°. With a speed of 8 m/s, it swoops down
on the mouse and catches it in 10 seconds.
What is the height of the hill?​

Answer 1

Answer:

h=40m

Step-by-step explanation:

Let E and M be the position of eagle and mouse respectively

the angle of depresion OEM = 30°

so the angle of mouse w.r.t eagle EMO=60°

it covers EM in 10sec with a velocity 8m/s

so, EM=8*10=80m

to find height

$\cos(60 ) = \frac{h}{80}$

as cos 60 = 0.5

$h = 80 \times 0.5 = 40m$

Thus the height of the Mountain is 40m

Answer 2

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