A boy 1.4 m tall, stood 10m away from a tree of height 12 m. Calculate, correct to the nearest degree, the angle of elevation of the top of the tree from the boy's eyes.

a

70º

b

47º

c

19º

d

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Correct Option
b

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Discussions (10)

emzzypickson
3 years ago

The answer is not here. The OPPOSITE is the difference of the height of the boy to the top of the three since the boy is taller than the boy (I.e 14-12=2)
Angle of elevation of the top of the three to the boy's eye is given by
Tan∅= opp/hyp
Tan∅= 2/10
∅= tan-1 (1/5)
∅≈ 11°

MrsB
3 years ago

How do you guy expect us to use sohcahtoa accept for special derivatives without calculator. This questions are pissing me off. Don't forget that we are only entitled to market women calculator

ProchyJay
2 years ago

The height of the tree above the boy is 12-1.4=10.6 Using tan#= opposite /adjacent where # is the angle of elevation tan#=10.6/10 hence #= 46.67 degrees ~47⁰

Binablaq
1 year ago

It is wrong to say tan[x]=26/10. The correct workings is tan[x]=2/10, gotten from 14m (the height of the boy) - 12m (the height of the tree)
Israel.

Waris456
1 year ago

Incorrect question the boy is taller than the tree

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