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The angle of elevation of the top of a tree from a point on the ground 60m

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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 78The angle of elevation of the top of a tree from a point on the ground 60m » QuizTablet. Find the height of the tree correct to the nearest whole number.

  • A. 148m
  • B. 382m
  • C. 248m
  • D. 282m

QUICK ANSWER…

D

SOLUTION 

Data given:

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Angle of elevation = 78The angle of elevation of the top of a tree from a point on the ground 60m » QuizTablet

Distance of the tree from the point of reference = 60m

Height of the tree = H = ?

The angle of elevation of the top of a tree from a point on the ground 60m

Using soh-cah-toa,

We’re dealing with opposite and adjacent, we will use TOA,

Tan78 = H/60

H = 60tan78 = 282.3 = 282m

Now for the right answer to the above question:

  1. Option A is incorrect.
  2. Option B is incorrect.
  3. C is incorrect.
  4. D is the correct answer.

QUICK TIPS…

You may please note these/this:

  • Angle of elevation of a point is the angle a straight line from the point makes with the horizontal.

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/culled from 2019 JAMB-UTME mathematics question 2 /

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