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
3.8k points