Question

From a hot-air balloon, Daniel measures a 33^{\circ} ∘ angle of depression to a landmark that’s 1579 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest tenth of a foot if necessary.

Answer 1

The balloon’s vertical distance above the ground is 860.0 ft

Right angle triangle:

Right angle triangle are triangle that has one of its sides as 90 degrees. The side of the triangle can be found using trigonometric ratios. Therefore,

The horizontal distance from the landmark tot he hot balloon is 1579 feet and it is the hypotenuse side of the triangle formed. Therefore, the vertical height is the opposite sides.

Using trigonometric ratio,

sin 33° = opposite / hypotenuse

sin 33° = x / 1579

cross multiply

x = 1579 × sin 33

x = 1579 × 0.54463903501

x = 859.985036289

x = 860.0 ft

learn more on right triangle here: brainly.com/question/25843163