Asked by Anna
A drone 125 ft high sights a landing pad with an angle of depression of 15 degrees. what is the horizontal distance between the drone and the landing pad?
I tried all the methods set it up multiple ways, and I'm at a loss. My teacher said the answer is 466.5ft.. but how? Thanks so much :-)
I tried all the methods set it up multiple ways, and I'm at a loss. My teacher said the answer is 466.5ft.. but how? Thanks so much :-)
Answers
Answered by
Reiny
very simple, make a sketch.
you will have a right-angled triangle, with a base angle of 15°, the opposite is 125, and let the adjacent be x
tan 15 = 125/x
xtan15 = 125
x = 125/tan15 = 466.506..
Make sure you understand the meaning of "angle of depression". The line of sight would be parallel to the ground, and you have alternate angles of 15°
you will have a right-angled triangle, with a base angle of 15°, the opposite is 125, and let the adjacent be x
tan 15 = 125/x
xtan15 = 125
x = 125/tan15 = 466.506..
Make sure you understand the meaning of "angle of depression". The line of sight would be parallel to the ground, and you have alternate angles of 15°
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