The tangent of an angle is the ratio of the opposite side to the adjacent side.
... tan(45°) = (height above eye level)/(20 m)
... height above eye level = (20 m)·tan(45°) = (20 m)·1 = 20 m
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Eye level is 1.7 m above ground, so the height of the flagpole above ground is
... height of pole = height above eye level + height of eye level
... height of pole = 20 m + 1.7 m = 21.7 m
Option A:
V = 1/3 * b^2 * h
V = 1/3 * 10.5^2 * 6
V = 1/3 * 110.25 * 6
V = 220.5
Option B:
V = 1/3 * b^2 * h
V = 1/3 * 3.6^2 * 8
V = 1/3 * 12.96 * 8
V = 34.56
Option C:
V = 1/3 * b^2 * h
V = 1/3 * 4.2^2 * 12
V = 1/3 * 17.64 * 12
V = 70.56
Option D:
V = 1/3 * b^2 * h
V = 1/3 * 6^2 * 8.4
V = 1/3 * 36 * 8.4
V = 100.8
I guess it's 'None of the Above'
Answer:
-5<x>-2
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Step-by-step explanation:
Answer:
x = 14
Missing angles: 33° and 57°
Step-by-step explanation:
(2x + 5) + (3x + 15) = 90° (complementary angles)
Add like terms
5x + 20 = 90
5x = 90 - 20
5x = 70
x = 70/5
x = 14
✔️Plug in the value of x to find each missing angle:
2x + 5 = 2(14) + 5 = 33°
3x + 15 = 3(14) + 15 = 57°
