A 30-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 32 m. Find the length

Question

3 years ago

11

of the shadow. If necessary, round your answer to the nearest tenth.

1 answer:

zepelin [54] · Answer 1 · 2022-08-01T22:32:48+03:00

Answer: 11.1 m

Step-by-step explanation:

This can be solved by the Pythagorean theorem where;

c² = a² + b²

c is the hypotenuse which is the distance from the top of the building to the tip of the shadow.

a is the height

c is the length

32² = 30² + b²

b² = 32² - 30²

b² = 1,024 - 900

b² = 124

b = √124

b = 11.1 m