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A flagpole is 20 meters tall. If a person standing 15 meters away from the base

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Question: A flagpole is 20 meters tall. If a person standing 15 meters away from the base of the flagpole sees the top of the flagpole at an angle of elevation of θ, what is sin(θ)?

Options:

  1. 0.75
  2. 0.8
  3. 0.6
  4. 0.5

Correct Answer: 0.8

Solution:

sin(θ) = opposite/hypotenuse = 20/√(15^2 + 20^2) = 20/√625 = 0.8.

A flagpole is 20 meters tall. If a person standing 15 meters away from the base

Practice Questions

Q1
A flagpole is 20 meters tall. If a person standing 15 meters away from the base of the flagpole sees the top of the flagpole at an angle of elevation of θ, what is sin(θ)?
  1. 0.75
  2. 0.8
  3. 0.6
  4. 0.5

Questions & Step-by-Step Solutions

A flagpole is 20 meters tall. If a person standing 15 meters away from the base of the flagpole sees the top of the flagpole at an angle of elevation of θ, what is sin(θ)?
  • Trigonometric Ratios – Understanding the relationship between the angles and sides of a right triangle, specifically using sine to find the ratio of the opposite side to the hypotenuse.
  • Right Triangle Properties – Applying the Pythagorean theorem to find the length of the hypotenuse in a right triangle formed by the flagpole and the distance from the person.
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