A40-foot y’all monument sits on top of a hill. eye is standing at a point on the hill and observes the top of the monument at an angle of elevation of 50 degrees and the bottom of the monument at an angle of elevation of 22 degrees. find the distance pete must climb to reach the monument.

  54.8 feet

Step-by-step explanation:

We assume that the distance of interest is the direct line distance from the observation point to the bottom of the monument, segment PH in the diagram  below.

This can be found using the Law of Sines.

∠PMH is the complement of the angle of elevation to the top of the monument, so is 40°.

∠MPH is the difference in the angles of elevation, so is 28°.

__

The Law of Sines tells us the ratio of side lengths is the same as the ratio of the sines of the opposite angles, so ...

  PH/MH = sin(∠PMH)/sin(∠MPH) = sin(40°)/sin(28°)

Multiplying by MH, we can find the length of PH:

  PH = (40 ft)(sin(40°)/sin(28°)) ≈ 54.7669 ft

  PH ≈ 54.8 ft . . . . the distance Pete must climb to reach the monument.

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.

c

step-by-step explanation: