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From a hot-air balloon, Aubree measures a 20° angle of depression to a landmark
that's 699 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.

Respuesta :

The balloon vertical distance above the ground to the nearest tenth is 254.4 feet.  

The situation forms a right-angle triangle.

Properties of a right angle triangle:

  • It has one of its angles as 90 degrees
  • The angles and the sides can be found using trigonometric ratios.

Therefore,  the horizontal distance from the landmark to the balloon is the adjacent side. The balloon vertical distance above the ground is the opposite side of the triangle.

Using trigonometric ratios,

tan 20° = opposite / adjacent

tan 20° = h / 699

cross multiply

h = 699 × tan 20°

h = 699 × 0.36397023426

h = 254.415193752

h = 254.4 feet

learn more on angles of depression here:https://brainly.com/question/23931413?referrer=searchResults

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