Question

Nearest foot horizontal distance

Answer 1

The horizontal distance the plan has covered when it has flown 4,000 feet is 694 feet.

Explanation:

Step 1:

For the given triangle, assume the opposite side has a length of x units, the hypotenuse of the triangle measures 4,000 feet. The given angle of the triangle is 10°. To calculate the opposite side's length of the triangle, we use the sine of the given angle.

`sin A = (oppositeside)/(hypotenuse)`

Step 2:

The length of the opposite side = x feet.

The length of the hypotenuse side = 4,500 feet.

`sin A = (oppositeside)/(hypotenuse), sin 10 = (x)/(4000).`

`x = sin10 (4000), sin 10 = 0.1736, x = 0.1736(4000) = 694.4 feet`.

So the horizontal distance is 694.4 feet, rounding this off to the nearest foot, we get the horizontal distance as 694 feet.