Question

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.

Answer 1

Answer:

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:

$26^2 + b^2 = 31^2$

$676 + b^2 = 961$

Subtract 676 from each side

$b^2 = 961 - 676$

$b^2 = 285$

Square both sides

$b = \sqrt{285}$

$b = 16.9 m$ (nearest tenth)