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Help with Math homework please help, Angle of depression?

I have a word problem that i am having difficulty working out

From the edge of a 1000ft cliff the angles of depression to two cars in the valley below are 21degrees and 28degrees. how far apart are the cars? Round your answers to the nearest 0.1ft

I think it has something to do with the law of sines, but i dont know what an angle of depression is. If you can explain even what an angle of depression is that would be great!

2 Answers

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  • 8 years ago
    Favorite Answer

    1. Draw a diagram

    2. Tan (90-21) x 1000 = 2605.09

    3. Tan (90-28) x 1000 = 1880.73

    2605.09 - 1880.73 = 724.36

    Angle of depression - If you look straight out and then down the angle that you looked down would represent the angle of depression. What I really needed here was the cotangent and Tan(90 -x) = cotangent. I could also have calculated the cotangent directly: Since tan x = 1/cotangent then

    1000/tan 21 = 2605.09.

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