Question

1. What is the value of X in the triangle? Round only you’re final answer to the nearest hundredth.

2. What is the value of Z in the triangle? Round only you’re final answer to the nearest hundredth.

3. What is the value of X in the triangle? Round only you’re final answer to the nearest hundredth.

Answer 1

1. X = 23.8 cm

2. Z = 12.5 Inches

3. x = 14.03 Degrees

Explanation:

1. Given

Hypotenuse=25 cm

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,

cos⁡θ= Base/Hypotenuse

cos⁡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

cos⁡θ= Base/Hypotenuse

cos⁡37=10/Z

0.7986=10/Z

Z=10/0.7986

Z=12.521

Z=12.5 inches

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

So the ration which involves these both will be used.

The desired ratio is

tan⁡ x=Perpendicular/Base

tan ⁡x=5/20

tan⁡ x=0.25

x = tan^(-1)⁡0.25

x = 14.03 Degrees ..