The length of a shadow of a building is 26 m. The distance from the top of the building to the tip of the shadow is 31 m. Find the height of the building. If necessary, round your answer to the nearest tenth.

16.9 m

Step-by-step explanation:

The diagram given that represents this situation is a right triangle.

The height of the building can be found using the pythagorean theorem, a² + b² = c².

Where,

a = 26 m

b = height of the building = h

c = 31 m

Plug in the values into the formula

Thus:

Subtract 676 from each side

Square both sides

(nearest tenth)

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

you need to rotate this triangle about the origin 270 degrees clockwise to create the full square.