Ask Question
14 October, 04:59

An airplane takes off from the ground and reaches a height of 500 feet after flying 2 miles. given the formula h = d tan θ, where h is the height of the plane and d is the distance (along the ground) the plane has flown, find the angle of ascent θ at which the plane took off.

+2
Answers (1)
  1. 14 October, 05:15
    0
    First we convert everything to the same unit taking into account the following conversion:

    1 mile = 5280 feet

    So, we have:

    h = 500 feet

    d = 2 (5280) = 10560 feet

    Substituting in the given formula we have:

    h = d tan θ

    500 = 10560tan θ

    tan θ = 500/10560

    θ = Atan (500/10560)

    θ = 2.71 degrees.

    Answer:

    the angle of ascent θ at which the plane took off is:

    θ = 2.71 degrees.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “An airplane takes off from the ground and reaches a height of 500 feet after flying 2 miles. given the formula h = d tan θ, where h is the ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers