A straight highway is 100 miles long, and each mile is marked by a milepost numbered from 0 to 100. A rest area is going to be b
uilt along the highway exactly 7 miles away from milepost 58. If 'm' is the milepost number of the rest area, which of the following equations represents the possible locations for the rest area?
A. | 58 - m | = 7
B. | m + 7 | = 58
C. | m - 7 | = 58
D. | 58 + m | = 7
A. | 58 - m | = 7
B. | m + 7 | = 58
C. | m - 7 | = 58
D. | 58 + m | = 7
2 answers:
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Step-by-step explanation:
Given that,
The function that shows the height of a baseball after t seconds is given by :
....(1)
Part (A).
When the baseball hits the ground,
H(t) = 0
So,
After 5 seconds the baseball will hit the ground.
Pat (B)
For maximum height, put dH/dt = 0
So,
Put t = 2.34 s in equation (1).
Hence, this is the required solution.
The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The distance from point C to point D is 258.8 meters.
<h3>What is Tangent (Tanθ)?</h3>The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
The distance from point C to D is equal to the distance from point A to B. Therefore, the height of the building can be written as,
Tan(25°) = AB / BC
Tan(25°) × 555 m = AB
AB = 258.8 meters
Hence, the distance from point C to point D is 258.8 meters.
Learn more about Tangent (Tanθ):
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