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The shadow of a pole 5√3cm on high is 5.5cm…

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The shadow of a pole 5√3cm on high is 5.5cm. find the angle of elevation of the sun.

A. 60⁰

B. 45⁰

C. 75⁰

D. 50⁰

This question obviously has a typo error, the correct question should read:

The shadow of a pole 5√3cm high is 5.0cm. find the angle of elevation of the sun.

QUICK ANSWER…

A

DETAILS…

We would have to sketch this problem to easily understand what we are doing.

The shadow of a pole 5√3cm on high is 5.5cm. find the angle of elevation of the sun

From the sketch, Θ = angle of elevation of the sun from the ground.

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Using SOHCAHTOA,

Tan Θ = 5√3/5 = √3

Θ = tan¯¹ √3 = 60⁰

Now for the right answer to the above question:

  1. Option A is correct.
  2. Option B is incorrect.
  3. C is not correct.
  4. D is not the correct answer.

KEY-POINTS…

You may please note these/this:

  • The actual shadow of the pole will be that formed on the ground from the foot of the pole.
  • Angle of elevation here will be that from the ground to the sun through the path of the hypotenuse.
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/ culled from 2020 JAMB-UTME mathematics past question 18 /

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