Question

NEED HELP!! Trigonometry questions

Answer 1

Answer:

Step-by-step explanation:

Question 1:  Assumption: This is a 30-60-90 triangle.

Remember that the sides of a 30-60-90 triangle are in the ratio 1:√3:2

The side opposite the 90° angle is 16, so the side opposite the 30° angle is 16/2 =  8

x = 8 units.

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Question 2:  Assumption: This is an isosceles triangle.

Draw the altitude to the vertex angle and you get a 30-60-90 triangle.

The side opposite the 90° angle has length 22, so the side opposite the 30° angle has length 11.

x/2 = 11

x = 22 units

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Question 3:  Assumption: This is a 45-45-90 triangle.

The sides of a 45-45-90 triangle are in the ratio 1:1:√2

The sides opposite the 45° angles are 19 and x.

x = 19

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Question 4:  Assumption: This is an isosceles triangle.

x = 13 units

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Question 5:  Assumption: This is a right triangle.

sin(54°) = x/45

x = 45sin(54°) ≅ 36.4 units

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Question 6:  Assumption: This is a right triangle.

sin(35°) = z/23

z = 23sin(35°) ≅ 13.2 units