Question

A rocket ship is two miles above sea level when it begins to climb at a constrast angle of 3.5° for the next 40 ground miles.About how far above sea level is a rocket ship after its climb?

a. 2.4 mi
b. 4.4 mi
c. 653.9 mi
d. 655.9 mi

Answer 1

4.45 above sea level

Answer 2

b). 4.4 miles

Explanation:

Given :

Distance of the rocket above sea level = 2 miles

Angle of climb = 3.5°

Horizontal ground distance = 40 miles

Therefore, distance traveled by the rocket ship

tan θ = opposite / adjacent

tan 3.5 = BC / AB

tan 3.5 = x / 40

x = 40 x tan 3.5

x = 2.44 miles

Therefore, distance traveled by the rocket ship above the ground level after climb = 2 + 2.44

= 4.44 miles