Question

I dont know how to solve this...

Answer 1

A. 0.72 mi
B. 0.83 mi
C. 1.12 mi
D. 3.28 mi

Answer 2

Any ideas?

Answer 3

What have you tried?

Answer 4

I think you should use the Law of Sines.

Answer 5

you can also do it easily without directly using the law of sins

Answer 6

First, solve for third angle:
Angle C = 180 - 28 - 37
Angle C = 115

Solve for side "b" using law of sines:
b/sin(B) = c/sin(C)
b/sin(37) = 2.32/sin(115)
b = (2.32/sin(115))*sin(37)
b = (2.32/0.906307787)*0.601815023
b = 1.54054822587549940139

Construct an altitude from ballon to ground.
Use law of sines to find length of "h":
h/sin(A) = b/sin(B)
h/sin(28) = 1.5405/sin(90)
h/sin(28) = 1.5405/1
h/sin(28) = 1.5405
h = 1.5405 * sin(28)
h = 1.5405 * 0.469471563
h = 0.7232209428015

Thus, the ballon is 0.7232 miles in altitude

Answer:
a. 0.72 mi