math

posted by .

a man is 6ft tall and he casts a shadow of 5 ft, if a tree casts a 30ft shadow, how tall is the tree?

• math -

Cross multiply this ratio and solve for x.

5/6 = 30/x

• math -

Ms Sue I'm still stuck

• math -

5/6=30/x

You can see that 5 was multiplied by 6 to get 30. In order to keep the fraction the same, you'll also have to multiply the 6 in the denominator by 6 to get 36 as your value for x, which in this case represents the height of the tree in feet.

• math -

When you cross multiply, you multiply the two farthest terms for the numerator and the two closest terms for the denominator.

5/6 = 30/x
5x = 6 * 30
5x = 180
x = ?

• math -

X=36

• math -

Right. The tree is 36 feet tall.

Similar Questions

1. math

A tree casts a shadow 10 ft long. A boy standing next to the tree casts a shadow 2.5 ft long. The triangle sjown for the tree and its shadow is similar to the triangle shown for the boy and his shadow. If the boy is 5 ft tall, how …
2. Math 115

A tree casts a shadow that measures 5 m. At the same time, a meter stick casts a shadow that is 0.4 m long. How tall is the tree?
3. math 115 CH 7

A tree casts a shadow that measures 5 m. At the same time, a meter stick casts a shadow that is 0.4 m long. How tall is the tree?
4. Math

A tree casts a shadow that measures 5 m. At the same time, a meter stick casts a shadow that is 0.4 m long. How tall is the tree?
5. math

A tree casts a shadow that measures 5 m. At the same time, a meter stick casts a shadow that is 0.4 m long. How tall is the tree?
6. Math

Stanely is 6ft tall. He wants to stand in the shade of a tree that is 35ft tall. If the tree casts a 10ft shadow, what is the farthest Stanely can stand from the tree and be completely in its shadow?
7. geomary

in sunlight, a vertical stick 7 ft tall casts a shadow 3 ft long. At the same time a nearby tree casts a shadow 11 ft long. How tall is the tree?
8. Math

Matt who stands at 68 inches tall casts an 8 foot shadow at the same time a pear tree casts a 21 foot shadow. How tall is the tree?
9. Geometry

mary is 5ft 9 inches tall. she casts a 2 ft shadow. the tree casts a 7 foot shadow. how tall is the tree?
10. math

A person that is 1.6 m tall casts a 4 m shadow. At the same time, a nearby tree casts a 12 m shadow. What is the height of the tree to the nearest tenth of a metre?

More Similar Questions