Mathematics

Question

brian wants to build a ramp that leads to a storeroom 5 meters above the ground. He wants the ramp to be 10 meters long. What should the angle of evelation of the ramp be?
A- 15
B- 30
C- 45
D- 60

2 Answer

  • you should have an angle of elevation of 30 degrees.
  • Answer:

    30°

    Step-by-step explanation:

    Given :

    Brian wants to build a ramp that leads to a storeroom 5 meters above the ground.

    He wants the ramp to be 10 meters long.

    To Find : What should the angle of elevation of the ramp be?

    Solution:

    Refer the attached figure

    Height of ramp i.e.AB = 5 m

    Length of Ramp i.e.AC = 10 m

    We are supposed to find the angle of elevation i.e. ∠ACB

    We will use trigonometric ratio

    [tex]Sin\theta=\frac{Perpendicular}{Base}[/tex]

    [tex]Sin\theta=\frac{AB}{AC}[/tex]

    [tex]Sin\theta=\frac{5}{10}[/tex]

    [tex]Sin\theta=\frac{1}{2}[/tex]

    [tex]\theta=Sin^{-1}(\frac{1}{2})[/tex]

    [tex]\theta=30^{\circ}[/tex]

    Hence the angle of elevation of ramp is 30°

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