162k views
8 votes
A 36 ft tree casts a 9 ft shadow at the same time a building casts a 15 ft shadow. How tall is the building?

User Borarak
by
4.1k points

1 Answer

4 votes

Answer: The height of the tree is 27f t

Step-by-step explanation: We can set up a proportion comparing the height of each object to the length of the shadow.

h/s

h/15=18/10

Cross multiply

10.h= 18*15

10h=270

Use the multiplicative Inverse

10 h/ 10 = 270 /10 =27

User Adrea
by
4.5k points