30.3k views
5 votes
Desmond bets his buddy Calvin that he can calculate the height of the Cullison Monumentwithout googling it to find out. At 1:30 PM, Desmond measures the monument's shadow(22.5 feet) and Calvin's shadow (3.5 feet). If Calvin is 6.25 feet tall, use similar triangles toestimate the height of the monument.

1 Answer

7 votes

Step 1

At 1:30 pm

Monument's shadow= 22.5 feet

Calvin's shadow =3.5 feet

Calvin is 6.25 feet tall

a) for the monument

shadow= adjacent side=22.5 ft

hypotenuse= unknow=h1

height of the monument = opposite side= y1

b) for Calvin

shadow= adjacent side=3.5 ft

hypotenuse= unknow=h2

height of the Calvin = opposite side= 6.25

Step 2

those triangles are similar, so the ratio between the shadow and the height must be constant, so


undefined

User Varun Verma
by
7.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories