A group of mountain climbers are using trigonometry to find the height of a mountain located in the Rockies. From point A, which is due west of the mountain, the angle of elevation to the top is 56 degrees. From point B, which is due east of the mountain, the angle of elevation to the top is 38 degrees. Points A and B are 9.4 km apart. Determine the height of the mountain and round to the nearest metre.

I calculated it but not sure if this is correct. 9.4/sin86 = a/sin56
9.4sin56/sin86
a= 7.81

sin38 = h/7.81
7.81sin38 = h
h = 4.81 km

so my answer is h = 4.81 km. but its asking me in meters...

2 answers

Write a basic porgram to find the trigonometric ratio of sin,cos,and tan,cotagent
convert km to meter.
1km = 1,000 meters.
therefore, 4.81km = 4,810 meters