Respuesta :
Answer:
c
Step-by-step explanation:
thehat is the angle of depression from the start of a 12-foot-high access ramp that ends at a point 80 feet away along the ground? Show all work.
A. 0.15 degrees
B. 8.2 degrees
C. 8.5 degrees
D. 45.6 degrees
the angle of depression of the ramp is 8.5 degrees and the right option is C. 8.5 degrees.
What is angle of depression?
Angle of depression is the angle formed by the line of sight and the horizontal plane for an object below the horizontal.
To calculate the angle of depression, we use the formula below.
Formula:
- tan∅ = x/y.............. Equation 1
Where:
- ∅ = angle of depression
- x = Height of the ramp
- y = distance of the ramp from where its ends
From the question,
Given:
- x = 12 feet
- y = 80 feet
Substitute these values into equation 1
- tan∅ = 12/80
- tan∅ = 0.15
- ∅ = tan⁻¹(0.15)
- ∅ = 8.5 degree
Hence, the angle of depression of the ramp is 8.5 degrees and the right option is C. 8.5 degrees.
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