is 12divided by 4=3ft the right answer?

Question

. A vertical pole casts a shadow that is 12 ft. At the same time a yardstick casts a shadow that is 4 ft. How tall is the pole?

Answer 1

I would think the 3 is to 4 as x is to 12..

so 3x time 3 = 9 so 9 is to 12 as 3 is to 4 the pole is 9 feet

3 x 3 = 9
3 x 4 =12

Answer 2

The pole is 9 feet tall. Use the Pythagorean theorem.

The angle of the sun will be the same for the pole and the yardstick. We know the yardstick is 3 ft tall. The yardstick is casting a 4 foot shadow. The pole's shadow is 3 times as long, therefore the pole is 3 times higher.

Answer 3

Hi Bap,

This is a problem in and geometry. First, consider the yardstick and its shadow. We can consider the yardstick to be the vertical side of a right triangle, with a length of 3 feet. The shadow on the ground (level ground, we will assume) is 4 feet. So the hypotenuse of the triangle would be 5 feet. We can determine this from the Pythagorean Theorem, or by simply recognizing that we are dealing with a 3 - 4 - 5 triangle.

Okay, we can simply recognize that that this is a problem in proportion and similar triangles. If the shadow cast by the yardstick is 4 feet, and the shadow cast by the pole is 12 feet, then we can just divide 12 / 4 to get 3, which is our multiplication factor. All the sides of the triangle formed by the shadow cast by the pole and the pole itself are 3 times larger than the triangle formed by the yardstick. So, we just multiply 3 feet by 3 to get 9 feet, which is the height of the pole. The hypotenuse of the pole triangle is 15 feet long.

James :-)

Answer 4

No. A three foot yardstick casts a four foot shadow.So for every three feet of height you get four feet of shadow. So divide the height of the shadow by the four feet = 3 and then times the 3 feet = a 9 foot pole.
Proof- every 3 feet of pole = 4 feet of shadow. 3 feet into 9 feet = 3 times the four feet = a 12 foot shadow.
When you do math problems-try to learn to picture what you are doing and it will be easier. My first algebra teacher had us drawing everything out so we could see the math and understand just what we are doing. He was quite a teacher.

Answer 5

if the yard stick cast a 4ft shadow it means that 1 yard = 4ft
and the pole is casting a shadow of 12ft it shows that
X yd. = 12 ft.
so 4 goes into 12 three times the pole is 3 yd.

Answer 6

12 divided by 4 = 3ft is WRONG answer.
12 divided by 4 = 3 is the correct answer.
Now to solve : how tall is the pole is this :
height of pole : its shadow = stick : shadow
=> height of pole : 12ft = 1yard : 4ft
=> height of pole : 12ft = 3ft : 4ft
=> height of pole = 12ft x 3ft / 4ft
= 9ft.

Answer 7

hi bap,

this is problem in geomentry.first of all ur ques is wrong.it shud be 12/4=3ft; it shud be 123/4=3.
according to my calculation the answer is 9.if not please refer to ur mind or the book u looked.
hope it is right=>