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If you would like to calculate (a + 1) * (a + 2) - (a + 1) * (a - 2) - a - 1, you can do this using the following steps:
(a + 1) * (a + 2) - (a + 1) * (a - 2) - a - 1 = a^2 + 2 * a + 1 * a + 2 - (a^2 - 2 * a + 1 * a - 2) - a - 1 = a^2 + 3 * a + 2 - a^2 + 2 * a - 1 * a + 2 - a - 1 = 3 * a + 3
The correct result would be 3 * a + 3.
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<span>(A) Find the approximate length of the plank. Round to the nearest tenth of a foot.
Given that the distance of the ground is 3ft.
In order to get the length of the plank,
we can use the this one.
cos 49 = ground / plank
cos 49 = 3 / plank
plank = cos 49 / 3
plank = 0.10 ft
</span><span>(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.
</span><span>
The remaining angle is equal to
angle = 180 - (90+49)
angle = 41
Finding the height.
tan 41 = height / ground
tan 41 = height / 3
height = tan 41 / 3
height = 0.05 ft.
(A) 0.10 feet
(B) 0.05 feet</span>
