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The angle of elevation of the top of a tree fro... - JAMB Mathematics 2019 Question

The angle of elevation of the top of a tree from a point on the ground 60m away from the foot of the tree is 78°. Find the height of the tree correct to the nearest whole number.

A

148m

B

382m

C

282m

D

248m

correct option: c

 

\(\tan 78 = \frac{h}{60}\)

\(h = 60 \tan 78\)

\(h = 60 \times 4.705 = 282.27m\)

\(\approxeq\) 282m 

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