A skate board ramp is built on an incline so that it rests on a porch that is 1.3m high. The bottom of the ramp is placed 2.5m f
rom the porch. What is the angle that the ramp forms with the ground?
1 answer:
Answer:
θ = 27.47°
Step-by-step explanation:
This problem can be represented as a right-angled triangle, as shown in the diagram below.
To find θ, we apply the tangent part of the trigonometric ratios SOHCAHTOA:
tanθ =
In the diagram, opposite = 1.3 m and adjacent = 2.5 m
Hence:
tanθ =
tanθ = 0.52
θ =
θ = 27.47°
The ramp forms 27.47° with the ground.
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