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sin theta = side opposite theta/hypotenuse cos theta = side adjacent to theta/hy

ID: 1603901 • Letter: S

Question

sin theta = side opposite theta/hypotenuse cos theta = side adjacent to theta/hypotenuse tan theta = sin theta/cos theta theta_A = tan^-1 (A_y/A_x) delta x = x_1 - x_2 bar v = delta x/delta t bar a = delta v/delta t v = v_0 + at delta x = v^2_r - v^2_0/2a g = 9.8 m/s^2 y = y_0 + v_0 t - 1/2 gt^2 v - v_0 + at delta y = v^2_0 - v^2/2_g The two hot-air balloons in the Figure are 48.2 and 61.0 m above the ground. A person in the left balloon observes that the right balloon is 13.3 degree above the horizontal!.

Explanation / Answer

The distance raised is

61-48.2 = 12.8 m

from the traigonmetiric rule

tan theta = opposite/ addjacent

tan 13.3 = 12.8 /x

x = 12.8/tan 13.3

=54.1 m