The dump truck shown has a 15-foot bed length. what is the height of the bed h when angle x is 30, 45, or 60
2 answers:
First, look at my attachment
The dump truck makes imaginary right triangle.
From the right triangle, we can find the h with sin ratio of the triangle.
h/b = sin of angle
h = b × sin of angle
(h stands for height, b stands for bed)
PART A: If the angle is 45°
h = b × sin 45°
h = 15 × 1/2√2
h = 15 × 0.707
h = 10.607
h = 10.6
The height is approximately 10.6 ft.
PART B: If the angle is 30°
h = b × sin 30°
h = 15 × 1/2
h = 7.5
The height is 7.5 ft.
PART C: If the angle is 60°
h = b × sin 60°
h = 15 × 1/2√3
h = 15 × 0.866
h = 12.990
h = 12.99
The height is approximately 12.99 ft.
The dump truck makes imaginary right triangle.
From the right triangle, we can find the h with sin ratio of the triangle.
h/b = sin of angle
h = b × sin of angle
(h stands for height, b stands for bed)
PART A: If the angle is 45°
h = b × sin 45°
h = 15 × 1/2√2
h = 15 × 0.707
h = 10.607
h = 10.6
The height is approximately 10.6 ft.
PART B: If the angle is 30°
h = b × sin 30°
h = 15 × 1/2
h = 7.5
The height is 7.5 ft.
PART C: If the angle is 60°
h = b × sin 60°
h = 15 × 1/2√3
h = 15 × 0.866
h = 12.990
h = 12.99
The height is approximately 12.99 ft.
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Answer:
A. (1, -2)
B. the lines intersect at the solution point: (1, -2).
Step-by-step explanation:
A. The equations can be solve by substitution by using the y-expression provided by one of them to substitute for y in the other.
This gives ...
3x -5 = 6x -8
Adding 8-3x to both sides, we get ...
3 = 3x
Dividing both sides by 3 gives ...
1 = x
Substituting this value into the first equation, we can find y:
y = 3(1) -5 = -2
The solution is (x, y) = (1, -2).
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B. The lines intersect at the solution point, the point that satisfies both equations simultaneously. That point is (1, -2).
