You are visiting the unisphere at flushing meadow park in new york. to estimate the height of the stainless steel model of earth, you place a mirror on the ground and stand where you can see the top of the model in the mirror. the unisphere is 100 feet from the mirror and you are standing 4 feet from the mirror. if your height is 5.6 feet, what is the estimated height of the unisphere?

a. 140 feet

c. 2,240 feet

b. 22.4 feet

d. 71 feet

a. 140 feet

Step-by-step explanation:

Let x be the estimated height of Unisphere.

According to the question, both man and Unishpere are standing vertiacl to the ground , and such that making the same angle with the ground.

Therefore, they are making similar triangles.

We know that the corresponding sides of similar triangle are proportional,

Hence, the estimated height of the tree = 140 ft.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

step-by-step explanation:

if you meant, "on the way from (3, 2) to (3, 14):

x does not change; y increases by 12.

ensure that you have copied down this problem correctly.   .