Ask Question
28 August, 11:14

A 30-ft. ladder makes an angle of 60 degrees with the horizontal when it reaches a given spot on a wall. What angle will a 35-ft. ladder make the horizontal if it reaches the sample spot?

+2
Answers (1)
  1. 28 August, 12:06
    0
    So first you must find the height at which the "spot" is where the ladder touches the wall ...

    sin60=h/30

    h=30sin60

    Now we can find the angle that the 35 ft ladder make when it touches the same spot.

    sinα=h/35 and using h we found earlier ...

    sinα = (30sin60) / 35

    α=arcsin[ (30sin60) / 35]

    α≈47.93 (α≈47º55'42")
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A 30-ft. ladder makes an angle of 60 degrees with the horizontal when it reaches a given spot on a wall. What angle will a 35-ft. ladder ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers