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Ludmilka [50]
2 years ago
9

a man 1.30 m tall is on a top of a building. he observed a car on the road at an angle of 60 degrees if the building is 30 m hig

h,how far is the car from the building?​
Mathematics
1 answer:
romanna [79]2 years ago
7 0

Given :

A man 1.30 m tall is on a top of a building. He observed a car on the road at an angle of 60 degrees if the building is 30 m high.

To Find :

How far is the car from the building.

Solution :

Let, distance between car and the building is x m.

So,

tan \ \theta = \dfrac{height\ of\ building + height\ of\  man}{distance \ between \ car \  and \ building}\\\\tan \ 60^o = \dfrac{30+1.3}{x}\\\\x = \dfrac{31.3}{1.73}\ m\\\\x = 18.09\ m

Hence, this is the required solution.

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  see attached

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