Answer:
138 feets
Step-by-step explanation:
Given that :
Angle of depression (α) = 16°
Elevation = height = 450 feets
Appling trigonometry :
From the picture attached :
Height / elevation = 450 feets (Adjacent)
Distance = d (opposite)
Tan α = opposite / Adjacent
Tan 17 = d / 450
450 tan17 = d
450 * 0.3057306 = d
d = 137.57880
Hence, distance between a point on the ground directly below the helicopter and the landing pad 138 feets
The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.
Given that,
The helicopter is flying at an elevation of 450 feet.
It is within sight of the landing pad and the pilot finds that the angle of depression to the landing pad is 16∘.
We have to determine,
The distance between a point on the ground directly below the helicopter and the landing pad.
According to the question,
The angle of depression = 16°,
Elevation = height = 450 feet
And d is the distance,
The angle of depression is an important component used in trigonometric operations.
The angle of depression is formed when the observer stands on a ground higher than the object which he is trying to observe.
Therefore, The angle of depression is,
[tex]Tan16 = \dfrac{d}{450}\\\\0.28 = \dfrac{d}{450}\\\\d = 450 \times 0.28\\\\d = 129.03 \ feet[/tex]
Hence, The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.
To know more about Trigonometry click the link given below.
https://brainly.com/question/13760328
