answer:
step-by-step explanation:
The kite is 64.278 feet away from the ground.
Step-by-step explanation:
Step 1; The kite string measures 100 feet while it has an angle of elevation which equals 40°. So a right-angled triangle can be formed using these measurements. The angle of the triangle is 40° while the hypotenuse of the triangle measures 100 feet. We need to find the opposite side's length of the triangle.
Step 2; Since we have the hypotenuse side's length and need to calculate the opposite side's length, we use the sine of the given angle. Assume the opposite side of the triangle is x feet long.
sin 40° = = , x = sin 40° × x,
sin 40° = 0.64278, so x = 0.64278 × 100 = 64.278.
So the kite is 64.278 feet away from the ground.