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JAMB - Mathematics (2019 - No. 2)

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.
148m
382m
282m
248m

Wyjaśnienie

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

\(h = 60 \tan 78\)

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

\(\approxeq\) 282m to the nearest whole number.

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