Scenario John is on a hill and wants to measure... - JSS3 Mathematics Study of Measurement Using Clinometers Question
Scenario: John is on a hill and wants to measure the distance to a tall building in the city. He measures the angle of elevation to the top of the building as 30 degrees. If the building is known to be 50 meters tall, how far is John from the building?
Given:
Height of the building (h) = 50 meters
Angle of elevation (θ) = 30 degrees
To find the distance to the building (d), use the formula:
𝑑=ℎtan(𝜃)
Substitute the given values:
𝑑=50tan(30∘)
Calculate the distance using a calculator:
𝑑=50/0.577
𝑑≈86.6 meters
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