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deff fn [24]
3 years ago
9

(ii) A peacock is sitting on the tree and observes its prey on

Mathematics
1 answer:
Paraphin [41]3 years ago
3 0

Answer:

74.8 m

Step-by-step explanation:

We are given that

\theta=22^{\circ}

Speed of peacock,v=10 km/h

Time,t=1 min 12 sec=60+12=72 s=\frac{72}{3600}=0.02 h

1 hour=3600 s

Distance=vt=10\times 0.02=0.2 km=0.2\times 1000=200 m

Using 1 km=1000 m

We know that

sin\theta=\frac{Perpendicular\;side}{hypotenuse}

Using the formula

sin22=\frac{h}{200}

h=200sin22=200\times 0.374=74.8 m

Hence, the peacock was at height  of 74.8 m on the tree.

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