Question

Use trig to find the height of the hot air balloon. Write an equation and show work. Round answer to the nearest tenth

Answer 1

Answer: 753.6 feet

Explanation:

The angle, theta, is 37 degrees. However, we're not given the length of the hypotenuse in this case. So sine would be x by the hypotenuse and cosine would be 1,000 by the hypotenuse. In this case, we can use tangent, which is sine/cosine. In this case, tan 37 = x/1,000.

Hence,

tan 37 = x/1,000

x = tan 37 * 1000

x is approximately 753.6, rounded to the nearest tenth.

Answer 2

x = 753.6 ft

Explanation:

One leg is x.

The other leg is given.

The trig function that relates the two legs of a right triangle is the tangent.

tan A = opp/adj

tan 37° = x/1000ft

x = 1000 ft × tan 37°

x = 753.6 ft