Question

A ramp is needed to allow vehicles to climb a 2 foot wall. The angle of elevation in order for the vehicles to safely go up must be 30 o or less, and the longest ramp available is 5 feet long. Can this ramp be used safely

Answer 1

Answer:

Yes the ramp can be safely used

Explanation:

Here, we have

Length of longest ramp = 5 ft

Height of wall = 2 ft

Therefore, the sine of the angle adjacent to the ramp which is equal to the angle of elevation is given by;

$Sin\theta = \frac{Opposite \, side \, to\, angle}{Hypothenus\, side \, of\, triangle}$

Where:

The opposite side to angle = 2 ft wall and

Hypotenuse side = Ramp = 5 ft

Therefore,

$Sin\theta = \frac{2}{5} = 0.4$ and θ = sin⁻¹0.4 = 23.55 °

The ramp can be safely used as the angle it is adjacent to is less than the specified 30°.