Question

Jamison takes a 20 foot board and props it up with a one foot block at the far end to make a daredevil jump ramp for his bike. What is the measure of the angle of elevation of the ramp to the nearest degree?

Answer 1

Answer:

$3^{\circ}$

Step-by-step explanation:

Let x represent the angle of elevation.

We have been given that Jamison takes a 20 foot board and props it up with a one foot block at the far end to make a daredevil jump ramp for his bike.

Upon looking at our attached file, we can see that 20 feet board and 1 foot board forms a right triangle with respect to ground, where side of 1 foot is opposite side and 20 feet side is hypotenuse.

We know that sine relates the opposite side of right triangle to its hypotenuse, so we can set an equation as:

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

$\text{sin}(x)=\frac{1}{20}$

Using arcsin we will get,

$x=\text{sin}^{-1}(\frac{1}{20})$

$x=2.865983982599^{\circ}$

Upon rounding our answer to nearest degree we will get,

$x\approx 3^{\circ}$

Therefore, the measure of the angle of elevation of the ramp is 3 degrees.