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A ramp leading into a building makes a 15° angle with the ground. The end of the ramp is 10 feet from the base of the building.

Approximately how long is the ramp? Round to the nearest tenth.

10.3 feet
10.4 feet
13.2 feet
38.6 feet

Sagot :

The ramp is 38.6 feet long

What is a Right angled triangle?

This is a triangle that has one of the sides as 90°. The sides of a Right angle triangle include:

  • Hypotenuse
  • Opposite
  • Adjacent

The hypotenuse is the longest side

The trigonometric formular associated with Right angle triangle are:

  • sin θ = Opposite /  Hypotenuse
  • cos θ = Adlacent / Hypotenuse
  • tan θ = Opposite / Adjacent

Given:

θ = 15

height covered by the inclination ( opposite ) = 10 feet

using: sin θ = Opposite /  Hypotenuse

sin 15 = 10 /  Hypotenuse

Hypotenuse = 10 / sin 15

Hypotenuse = 36.637 feet

Hypotenuse ( length of the ramp ) = 38.6 feet (to the nearest tenth)

lenth of ramp = 38.6 feet

Read more on Right angle triangle here: https://brainly.com/question/22790996

Answer:

D.) 38.6

Step-by-step explanation:

just did it on edge

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