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zhuklara [117]
3 years ago
12

Describe the difference between vertical angles and linear pairs of angles

Mathematics
2 answers:
Irina-Kira [14]3 years ago
4 0
Vertical angles :each of the pairs opposite made by 2 intersecting lines
Linear pairs of angles :are adjacent angles formed when 2 lines intersect
Anvisha [2.4K]3 years ago
3 0

The difference between vertical angles and linear pairs of angles is that linear pairs of angles has two adjacent angles whose noncommon sides form opposite sides and vertical angles have two adjacent angles that have common sides that and they have a common vertex.

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Answer:

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Step-by-step explanation:

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A flagpole is located at the edge of a sheer y = 70-ft cliff at the bank of a river of width x = 40 ft. See the figure below. An
Gnom [1K]
I would solve this using tangents.  Let h be height of flagpole.
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The larger triangle has height of "h+70"
Smaller triangle has height of 70.

Now write the tangent ratios:
tan A = \frac{h+70}{40}  , tan B = \frac{70}{40}

Note: A-B = 9
To solve for h we need to use the "Difference Angle" formula for Tangent
tan (A-B) = \frac{tanA - tanB}{1+tan A  tan B}
Plug in what we know:
tan(9) = \frac{ \frac{h+70}{40} -  \frac{70}{40}}{1+ (\frac{h+70}{40})(\frac{7}{4})}
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h = \frac{650 tan(9)}{4-7 tan(9)}
h = 35.6
7 0
3 years ago
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