Question

A target at a shooting range is 60 yards away and 12 feet high. At what angle must the rifle be set to hit the target? Round to the nearest hundredth.

Answer 1

Answer:

The angle must be at 3.81°

Step-by-step explanation:

The horizontal distance of the shooting range is 60 yards

The height of the target is 12ft.

We'll have to convert the value of the height from ft to yards.

1 yards = 3 foot

X yards = 12ft

X = 4yards.

The height of the target is 4 yards.

Now, to find the angle at which the shooter makes with the zenith of the target(height), we'll have to use use SOHCAHTOA

To know which of the rules we'll follow, a pictorial illustration of the values will help

(See attached document for better illustration).

From the diagram, we can see we have values at both opposite and adjacent.

Opposite = 4

Adjacent = 60

Hence we can use Tanθ = opposite/ adjacent

Tanθ = 4 / 60

Tanθ = 0.067

θ = Tan⁻0.067

θ = 3.81°

The angle at which the rifle must be set to hit the target is 3.81°