Scenario Sarah wants to estimate the height of ... - JSS3 Mathematics Study of Measurement Using Clinometers Question
Scenario: Sarah wants to estimate the height of a flagpole in her school yard. She stands 30 meters away from the base of the flagpole and measures the angle of elevation to the top of the pole as 50 degrees. Calculate the height of the flagpole.
Given:
Distance from the flagpole (d) = 30 meters
Angle of elevation (θ) = 50 degrees
To find the height of the flagpole (h), use the formula:
ℎ=𝑑×tan(𝜃)
Substitute the given values:
ℎ=30×tan(50∘)
Calculate the height using a calculator:
ℎ≈30×1.192
ℎ≈35.76 meters
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