Michelle wants to determine the height of the flag pole outside of her school. She places a meter stick next to the flag pole an
d measures the shadow of the meter stick and the flag pole. If the meter stick has a shadow of 140 centimeters and the flag pole has a shadow of 35 meters, then how tall is the flag pole?
A.
25 meters
B.
12.5 meters
C.
250 meters
D.
400 meters
A.
25 meters
B.
12.5 meters
C.
250 meters
D.
400 meters
1 answer:
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<u>Part A</u>
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<u>Part B</u>
The vertex of the graph will be a maximum because the leading coefficient is negative.
The x coordinate of the vertex is .
When x=15/8, .
So, the vertex has coordinates
<u>Part C</u>
Plot the two x-intercepts and the vertex and then draw a curve in the shape of a parabola passing through them.
The graph is in the attached image.
Answer:
The distance you are from the base of plateau =
Step-by-step explanation:
Given:
Height of plateau = 70 m
Angle of elevation to the top of plateau = 35°
To find the distance you are from the base of plateau.
We will construct a triangle ABC to model the given situation. The triangle would be a right triangle for which we know an angle and its opposite side. We need to find the adjacent side of the triangle.
We will apply trigonometric ratio to find the adjacent side.
where represents the angle of reference.
Plugging in the values from the triangle.
Multiplying both sides by AC.
Dividing both sides by
∴
The distance you are from the base of plateau =
