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2 answers:
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Answer:
The height (in feet) at which the laser will impact the wall is 6.75 feet
Step-by-step explanation:
The given parameters are;
The height from which the laser beam operator is holding the laser = 9 feet
The horizontal distance away from the pointer the beam is reflected = 8 feet
Given that we have;
When x = 8, the point of reflection, the height, f(x) is given as follows;
When x = 7, the point of reflection, the height, f(x) is given as follows;
Therefore, given that the point of reflection is at an elevation of 0 relative to the 9 feet of the laser source (pointer), by tan rule, we have;
Where;
h = The height at which the laser meets the wall
Given that the wall the laser meets is at the point x with elevation 9/8, the height, y, at which the laser meets the wall is therefore;
The height (in feet) at which the laser will impact the wall = 6.75 feet.
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<h2>Answer:</h2><h2 />______________________________________________________
<h2>Explanation:</h2>To find the area of the shaded region, we must find the area of the inner white triangle and subtract it from the area of the outer blue one.
Outer:
A = bh
A = (12 · 5)
A = (60)
A = 30 mm²
Inner:
A = bh
A = (4 · 3)
A = (12)
A = 6
30 - 6 = 24