Question

How do solve this please be as in depth as possible?

Answer 1

6283 feet

Explanation:

represent the distances for the man and the woman

man = 3.6 - x

woman = x

represent the altitude by y

(3.6 - x)tan 29 = x tan 39

3.6 tan 29 - x tan 29 = x tan 39

3.6 tan 29 = x(tan 39 + tan 29)

x = 3.6 tan 29 / (tan 39 + tan 29)

x = 1.463

tan 29 = y/1.463

y = 1.463 tan 39

y = 1.19

tan 39 = y/2.137

y = 2.137 tan 29

y = 1.19

so the altitude is 1.19 miles

1 mile = 5280 feet

1.19 x 5280 = 6283.2

nearest foot = 6283 ft