A meteorologist sends a signal from a radar station that stands 45 feet off the ground. The signal measures the distance to be 1400 yards at an angle of 55°. Determine the height of the clouds

  3485 ft

Step-by-step explanation:

The height above the radar station is found using ...

  height = distance × sin(angle)

  height = (4200 ft) × sin(55°) ≈ 3440 ft

Since the radar station is 45 ft above the ground, the height of the clouds will be an additional 45 ft:

  3440 ft + 45 ft = 3485 ft . . . . height of clouds

Comment on units

You need to be a bit careful here because one dimension is given in feet and another in yards. You need to use 1 yard = 3 feet to figure that 1400 yards = 4200 feet. You could convert 45 ft to 15 yards and report the cloud height in yards. That would not be wrong, but it would be unusual.

maybe showing the graph would

step-by-step explanation:

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