Kate stands 2 meters from a lamppost. She is 2.1 meters tall and casts a shadow 3 meters long in the light from the lamp. How tall is the lamppost? See diagram below.

3.5 meters.

Step-by-step explanation:

Please refer to the attachment.

Since the two triangles share two congruent angles, by AA Similarity, the two triangles are similar.

Therefore, we can write the following proportion:

To find the height of the lamppost x, we will simply have to solve for x.

So, let’s cross-multiply:

Divide both sides by 3:

Hence, the height of the lamppost is 3.5 meters.

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere