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

Answer»

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

\<klux>COS</klux>(60 ) =  \frac{h}{80}

as cos 60 = 0.5

h = 80 \times 0.5 = 40m

Thus the height of the Mountain is 40m



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