SOLUTION: mieko, who is 1.75 m tall, wishes to find the height of a tree. She walks 21.35 m from the base of the tree along the shadow of the tree until her head is in a position where the

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: mieko, who is 1.75 m tall, wishes to find the height of a tree. She walks 21.35 m from the base of the tree along the shadow of the tree until her head is in a position where the       Log On


   

Question 240864: mieko, who is 1.75 m tall, wishes to find the height of a tree. She walks 21.35 m from the base of the tree along the shadow of the tree until her head is in a position where the tip of her shadow exactly overlaps the end of the tree top's shadow. she is now 8.50m from the end of the shadows. how tall is the tree? round to the nearest hundredth
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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mieko, who is 1.75 m tall, wishes to find the height of a tree.
She walks 21.35 m from the base of the tree along the shadow of the tree until her head is in a position where the tip of her shadow exactly overlaps the end of the tree top's shadow.
she is now 8.50m from the end of the shadows.
how tall is the tree? round to the nearest hundredth
:
Let h = height of the tree
The triangles are similar
:
1.75%2F8.5 = h%2F%2821.35%2B8.5%29
:
1.75%2F8.5 = h%2F%2829.85%29
:
Cross multiply
8.5h = 1.75 * 29.85
:
8.5h = 52.2375
h = 52.2375%2F8.5
h = 6.1 meters