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3 years ago

What are the measures of < 1 and < 2. Show your work or explain your answer.

Mathematics

1 answer:

VashaNatasha [74]3 years ago

4 0

Answer:

m<1 = 105°

m<2 = 75°

Step-by-step explanation:

Since lines c and d are parallel to each other, therefore:

m<2 = 75° (corresponding angles are congruent)

m<1 + m<2 = 180° (linear angle pair)

Substitute

m<1 + 75° = 180°

Subtract 75 from both sides

m<1 = 180° - 75°

m<1 = 105°

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2 years ago

Suppose that you are headed toward a plataeu 70m high. If the angle of elevation to the top of the platau is 35 degree how far a

SIZIF [17.4K]

Answer:

The distance you are from the base of plateau = $99.97\ m\approx 100\ m$

Step-by-step explanation:

Given:

Height of plateau = 70 m

Angle of elevation to the top of plateau = 35°

To find the distance you are from the base of plateau.

We will construct a triangle ABC to model the given situation. The triangle would be a right triangle for which we know an angle and its opposite side. We need to find the adjacent side of the triangle.

We will apply trigonometric ratio to find the adjacent side.

$\tan\theta=\frac{Opposite\ Side}{Adjacent\ Side}$

where $\theta$ represents the angle of reference.

Plugging in the values from the triangle.

$\tan 35\° =\frac{BC}{AC}$

$\tan 35\° =\frac{70}{AC}$

Multiplying both sides by AC.

$AC\times \tan 35\° =AC\times \frac{70}{AC}$

$AC\times \tan 35\° =70$

Dividing both sides by $\tan 35\°$

$\frac{AC\times \tan 35\°}{\tan 35\°} =\frac{70}{\tan 35\°}$

∴ $AC=99.97\ m\approx 100\ m$

The distance you are from the base of plateau = $99.97\ m\approx 100\ m$

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3 years ago

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Answer:

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Step-by-step explanation:

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Answer:

The first one would be -30

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Sorry if this is wrong

Hope you have a good rest of your day. :))

Sorry i added nothing the first time i didn't mean to do that my bad.

Step-by-step explanation:

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3 years ago

Read 2 more answers