Question

A hot air balloon is rising vertically. From a point on level ground 125 ft. from a point on ground level directly under the balloon the angle of elevation of the balloon changes from 19.2 to 31.7. How far does the balloon rise during this period? Draw a diagram when answering this question.

Answer 1

for height at 19.2° :
h1/125 = tan19.2
h1 = 125tan19.2

for height at 31.7° :
h2/125 = tan31.7
h2 = 125tan31.7

change in height = h2 - h1
= ....

you do the button-pushing