Using the properties of triangles, prove that angle a is congruent to angle c in the drawing below.

Mathematics

1 answer:

ioda2 years ago

8 0

Answer:

There are no triangles given, so I will explain what congruent triangles are.

Step-by-step explanation:

Two triangles are said to be congruent if the three sides and the three angles of both the angles are equal in any sense.

Consider the following conditions for two triangles:

- Two angles and corresponding side, of the two triangles are equal

- Two sides and angle between the two triangles are equal

- Hypotenuse and Leg of two right angled triangles are equal.

If all these conditions are met for any two triangles, they are said to be congruent.

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Answer:

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Step-by-step explanation:

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Answer:

The height of the bullding is 717 ft

Step-by-step explanation:

Right Triangles

The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.

The tangent ratio for an internal angle A is:

$\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}$

The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.

The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:

$\displaystyle \tan 82^\circ=\frac{h}{100}$