The angle of depression from an air traffic control tower to an airplane on the runway is 72 degrees. If the tower is 354 feet t
1 answer:
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1. Divide 135 by 8 which is equal to 16
2. Multiply 16 ×8 = 128
3. Subtract 135 - 128 =7
The seven represent the numerator so it would be 7/8.
The finally answer would be
2. Multiply 16 ×8 = 128
3. Subtract 135 - 128 =7
The seven represent the numerator so it would be 7/8.
The finally answer would be
<h3>Answer: 24 feet (Choice D)</h3>
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Explanation:
Refer to the diagram below. The goal is to find x, which is the horizontal distance from the base of the tree to the swing set.
Focus on triangle BCD.
The angle B is roughly 30.26 degrees, and this is the angle of depression. This is the amount of degrees Emir must look down (when starting at the horizontal) to spot the swing set.
We know that he's 14 ft off the ground, which explains why AB = CD = 14.
The goal is to find BC = AD = x.
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Again, keep your focus on triangle BCD.
We'll use the tangent ratio to say
tan(angle) = opposite/adjacent
tan(B) = CD/BC
tan(30.26) = 14/x
x*tan(30.26) = 14
x = 14/tan(30.26)
x = 23.9965714046732
That value is approximate. Make sure your calculator is in degree mode.
That value rounds to 24 feet when rounding to the nearest whole foot.