A tree casts a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree casts a 9 foot shadow. What is the approximate height of the tree to the nearest foot?

Because of similar-triangle geometry rules, the ratio of shadow length to the height of the object casting the shadow is a constant. If the tree height is x,
25/x = 9/6

Solve for x.

posted by drwls
2. 37.5

posted by trips
3. Its 47 feet.

posted by Mo
4. what?

posted by Anonymous
5. 25/9=x/6
...
(25*2)/3
=50/3
=16.666666..... feet!

posted by Shail
6. The ques tion is wrong...
it ain't 26/x=9/6

its 25/9=x/6

posted by Shail
7. 37.5

posted by Andrew
8. A tree casts a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree casts a 9 foot shadow. What is the approximate height of the tree to the nearest foot?

25/x = 9/6 (where 25 is the tree's shadow, x is the unknown height of the tree, 9 is the man's shadow and 6 is the man's height)

solve for x
cross multiply 25(6) = (9)x
150 = 9x
x = 150/9
do the division
x = 16.6
the tree is 16.6 feet or about 17 feet tall

posted by Joyce
9. A tree that is 100 feet tall casts a shadow that is 150 feet long. Determine the angle at which the rays of the sun hit the ground, to the nearest degree.

posted by Anonymous
10. 9.75 feet

posted by Emma
11. Math is shhhittt

posted by mary
12. i want an answer of this...plz help me... a vertical stick of 30m long casts a shadow 15m long on the ground. at the same time a tower casts a shadow 75 m long on the ground. what is the height of the tower?

posted by nithya
13. a telephone pole casts a 36 foot shadow nearby a 6 foot man casts an 8 foot shadow how tall is the telephone pole

posted by Riley
14. ??????

posted by abc123
15. 6/x = 9/25
9x = 150
x = 150/9
x = 16.666.../16.7/17 feet

posted by anonymous
16. //DOWN ON THE WEST COAST/ THEY GOT A SAYING//

posted by LANA DEL REY
17. ORDER "HONEYMOON" ON ITUNES NOW!

posted by LANA DEL REY
18. Free my niiigga Barry out the chain gang

posted by Biiitch

## Similar Questions

1. ### geomtry

A tree casts a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree casts a 9 foot shadow. What is the approximate height of the tree to the nearest foot?
2. ### Math 7

A tree casts a 50 foot shadow. At the same time of day, a 4 foot man standing near the tree casts a 10 foot shadow. What is the approximate height of the tree to the nearest foot?
3. ### geomtry

A tree casts a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree casts a 9 foot shadow. What is the approximate height of the tree to the nearest foot?
4. ### math

A tree casts a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree casts a 9 foot shadow. What is the approximate height of the tree to the nearest foot?
5. ### Math 7

how high is a tree that casts a 25 foot shadow at the same time a 6 foot pole casts a 10 foot shadow? Please help! I don't understand how to solve any problem like this!!
6. ### Math

A 12 foot-high pole casts a 9 foot long shadow, at the same time of day, what would be the length of a shadow cast by a 45 foot-long tree
7. ### math

at a certain time of day a 5 foot 11 inch woman casts a 3 foot 11 inch shadow. how tall is a nearby tree that casts a 14 foot 5 inch shadow at the same time of day?
8. ### Math

At a certain time of day, a 5 foot 8 inch woman casts a 3 foot 1 inch shadow. How tall is a nearby tree that casts a 13 foot 7 inch shadow at the same time of day?
9. ### mathematics

A fence post casts a 4-foot shadow at the same time that a tree next to it casts a 64-foot shadow. How tall is the tree? (1) 66 (2) 70 (3) 74 (4) 78 (5) not enough information is given I believe the correct answer is #1 66 ????
10. ### 9th grade integrated algebra

a tree casts a 25 foot shadow on a sunny day if the angle of elevation from the tip of the shadow to the top of the tree 32 degrees, what is the height of the tree to the nearest thenth of a foot?

More Similar Questions