Please help me with this

Mathematics

1 answer:

DIA [1.3K]2 years ago

4 0

Answer:

65.9 ft

Step-by-step explanation:

The Law of Sines tells us the relationship between an angle and the opposite side. We are given the angle opposite the given side, but we need the angle opposite the side of interest.

<h3>third angle</h3>

The sum of angles in a triangle is 180°, so the measure of the angle at the balloon is ...

angle C = 180° -75° -60° = 45°

<h3>ground distance</h3>

Then the distance between Amaya and Rochelle (c) is ...

c/sin(C) = r/sin(R)

c = r×sin(C)/sin(R) = (90 ft)×sin(45°)/sin(75°)

c ≈ 65.8846

Amaya and Rochelle are about 65.9 feet apart.

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Suppose the length of the diagonal of this rectangular television screen is 29 inches and the length of the base of the screen i

Romashka [77]

Answer: the height of the television screen is 20 inches

Step-by-step explanation:

The diagram of the rectangular television screen is shown in the attached photo. The rectangle is labelled as ABCD. The diagonal forms a right angle triangle, ABC. This means that angle B is 90 degrees. The height it labelled as h. To determine h, we will apply Pythagoras theorem. Pythagoras theorem is expressed as

Hypotenuse ^2 = opposite ^2 + adjacent ^2

From the diagram,

hypotenuse = 29 inches

Adjacent = 21 inches. Therefore,

29^2 = 21^2 + h^2

h^2 = 29^2 - 21^2 = 841 - 441

h = √400

h = 20 inches