To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which is found to be 60°, and then walks off the distance to each house, 20 feet and 90 feet, respectively. How far apart are the houses?

step-by-step explanation:

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2