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1. What is the value of X in the triangle? Round only youā€™re final answer to the nearest hundredth.

2. What is the value of Z in the triangle? Round only youā€™re final answer to the nearest hundredth.

3. What is the value of X in the triangle? Round only youā€™re final answer to the nearest hundredth.

1 What is the value of X in the triangle Round only youre final answer to the nearest hundredth 2 What is the value of Z in the triangle Round only youre final class=
1 What is the value of X in the triangle Round only youre final answer to the nearest hundredth 2 What is the value of Z in the triangle Round only youre final class=
1 What is the value of X in the triangle Round only youre final answer to the nearest hundredth 2 What is the value of Z in the triangle Round only youre final class=

Respuesta :

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Answer:

1. X = 23.8 cm

2. Z = 12.5 Inches

3. x = 14.03 Degrees

Step-by-step explanation:

1. Given

Hypotenuse=25 cm Ā 

Angle=18 Degrees

We will use the trigonometric ratios for right angled triangles for finding the value of X.

In the given triangle, as X is the base, we will use the ration which involves base and hypotenuse.

So,

cosā”Īø= Ā Base/Hypotenuse

cosā”18=X/25

0.9510=X/25

0.9510*25=X

X=23.775

X=23.8 cm

2.The ratio of cos will be used for this one too.

Here,

Base=10 inches

Angle=37 Degrees

cosā”Īø= Ā Base/Hypotenuse

cosā”37=10/Z

0.7986=10/Z

Z=10/0.7986

Z=12.521 Ā 

Z=12.5 inches

3. As we know the values of perpendicular and base , Ā 

So the ration which involves these both will be used.

The desired ratio is Ā 

tanā” x=Perpendicular/Base

tan ā”x=5/20

tanā” x=0.25

x = Ā tan^(-1)ā”0.25

x = 14.03 Degrees Ā ..

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