To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an angle 75° from the horizontal. An observer D = 600 m away measures the angle of elevation to the spot of light to be 45°. Find the height h of the cloud cover. (Round your answer to the nearest meter.)

Can you please give the final answer in the nearest meter with it bc I keep getting it wrong when i try to

1 answer

So, are you Ruth or Beth?

You don't say whether the observers are shining lights in the same direction or opposite directions. I'll assume the same direction (the 2nd observer is behind the 1st one). In that case,

h cot45° - h cot75° = 600

If the lights are shining toward each other, then you need to modify that.