A straight tail leads from the Alpine Hotel elevation 8000 f

A straight tail leads from the Alpine Hotel, elevation 8000 feet, to a scenic overlook, elevation 11,100 feet. The length of the trail is 14,100 feet. What is the inclination (grade) of the trail? That is, what is angle B? 12.7 degree 12.4 degree 16.2 degree 77.3 degree

Solution

solution:

consider the triangular geometry

here length of trail = 14100 ft

elevation of trail = 3100 ft

so here angle of elevation is B

with sinB= prependicular/hypotenous

sin B = 3100/14100

sinB = 0.2198

B = arc sin(0.2198)

B= 12.7^o

a option