An airplane is descending as it approaches the airport. If the angle of depression from the plane to the ground is 7 degrees and
1 answer:
Answer:
The distance from the plane to the airport is around 245.57 feet.
Step-by-step explanation:
Angle of depression = 7 degrees
Height (Vertical portion of a right-angle triangle) = 2,000 feet
We are looking for the base of the right-angle triangle, which represents the distance from the plane to the airport. Therefore, we must use SOH or CAH or TOA to help us determine the length of the base. In this case, it is most convenient to use TOA:
tanΘ=
Rearrange the equation to solve for 'Opposite':
Opposite=(tanΘ)(Adjacent)
Opposite=(tan[7])(2,000)
Opposite=0.12278456*2,000
Opposite=245.5691218 feet
Thus, the distance from the plane to the airport is around 245.57 feet.
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Answer:
(c).
Step-by-step explanation:
h(t) = - 16 t² + 80 t
Coordinates of the vertex are:
<em>t</em> = - =
= <em>2.5 sec. </em>
<em>h</em> = - 16(2.5)² + 80(2.5) = - 100 + 200 = <em>100 ft</em>.
Answer:
Option C is correct.
Step-by-step explanation:
Points given are
(1,2) and (3,8)
The formula used for slope is:
x₁ = 1, x₂=3, y₁=2 and y₂=8
So, slope =3
Option C is correct.