Question

The length of the shadow of a building is 100 meters as shown below.

What is the height of the building?

a. 50 m
b. 100 m
c. 200 m
d. 55 m

Answer 1

tan(45 degrees) = h/100 where h is the height of the building and 100 is the shadow.

Recall that the tangent of an acute angle of a right triangle is the ratio of the opposite leg length of the triangle to the adjacent leg length of the triangle.

This triangle is a 45-45-90 triangle. The legs are congruent in an isosceles triangle.

So, the ratio of the opposite leg and the adjacent leg would be 1 which is the tangent of 45 degrees.

tan(45 degrees) = h/100

1 = h/100 --> @lowcard2 Look at the equation. What number divided by 100 is equal to 1?

Answer 2

100

Answer 3

Correct.

Answer 4

thank youucx

Answer 5

You're welcome.