Answer:
Step-by-step explanation:
Given figure is of a rhombus.
Measures of the opposite angles of a rhombus are equal.
Therefore,
![m \angle \: 1 = 120 \degree](https://tex.z-dn.net/?f=m%20%5Cangle%20%5C%3A%201%20%3D%20120%20%5Cdegree)
0.75x-18.5=0.65x
0.75x-0.65x=18.5
0.1x=18.5
x=18.5/0.1=185
Answer: x=185
To checkt:
0.75(185)-18.5=138.75-18.5=120.25
0.65(185)=120.25
Answer:
<u>height</u><u>,</u><u> </u><u>x</u><u> </u><u>is</u><u> </u><u>2</u><u>3</u><u>5</u><u> </u><u>ft</u>
Step-by-step explanation:
From trigonometric ratios:
![\cos( \theta) = \frac{adjacent}{hypotenuse}](https://tex.z-dn.net/?f=%20%5Ccos%28%20%5Ctheta%29%20%20%3D%20%20%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D%20)
but:
![\theta = 90 \degree - 36 \degree \\ \theta = 54 \degree](https://tex.z-dn.net/?f=%20%5Ctheta%20%3D%2090%20%5Cdegree%20-%2036%20%5Cdegree%20%5C%5C%20%20%5Ctheta%20%3D%2054%20%5Cdegree)
adjacent is x
hypotenuse is 400 ft
![\ \cos ( 54 \degree) = \frac{x}{400} \\ \\ x = 400 \ \cos (54 \degree) \\ x = 235 \: \: feet](https://tex.z-dn.net/?f=%20%5C%20%5Ccos%20%28%2054%20%5Cdegree%29%20%20%3D%20%20%5Cfrac%7Bx%7D%7B400%7D%20%20%5C%5C%20%20%5C%5C%20x%20%3D%20400%20%5C%20%5Ccos%20%2854%20%5Cdegree%29%20%20%5C%5C%20x%20%3D%20235%20%5C%3A%20%5C%3A%20%20feet)
Answer:
Yes! Wheres the pic? I'll awnser in the comments on this!