The measurement of 2 and justification
1 answer:
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Remark
Study the triangle carefully. It may not be exactly as you have drawn it, but it will work if you just follow the givens.
Givens
AC = 2
AB = 1
BC = sqrt(3)
Step One
Find Cos C
Cos(C) = adjacent / Hypotenuse
Cos(C) = BC / AB
Cos(C) = sqrt(3)/2
Step Two
Find Sin(A)
Sin(A) = opposite / hypotenuse
Sin(A) = AB / AC
Sin(A) = 1/2
Step Three
Find Cos(C) * Sin(A)
Cos(C) * Sin(A) = sqrt(3)/2 * 1/2 = sqrt(3) / 4 <<<< Answer
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.