Hot air balloon

The center of the balloon is at an altitude of 600 m above the ground (AGL). The observer on earth sees the center of the balloon at an elevation angle of 38°20'. The balloon is seen from the perspective of an angle of 1°16'. Calculate the diameter of the balloon.

Correct answer:

D =  55.5071 m

Step-by-step explanation:

h=600 u1=38+20/60=311538.3333 u2=1+16/60=15191.2667 u3=u1+u2=38.3333+1.2667=5198=39.6 x=h/tanu1=h/tan38.333333333333° =600/tan38.333333333333° =600/0.790697=758.82371  tan(u2+u1) = (r+h)/x r=x tanu3h=x tan39.6° h=758.8237 tan39.6° 600=758.8237 0.827272600=27.75357 D=2 r=2 27.7536=55.5071 m

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Showing 1 comment:
Math student
it is ok

Tips for related online calculators
See also our right triangle calculator.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: