Answer:
343.7 ft
Step-by-step explanation:
The wire is anchored 190 -13 = 177 ft from the ground. That distance is opposite the given angle (31°). The measure you want is the hypotenuse of the triangle with that side and angle measures.
The mnemonic SOH CAH TOA reminds you that the relation between the opposite side, hypotenuse, and angle is ...
Sin(angle) = Opposite/Hypotenuse
Filling in the given information, you have ...
sin(31°) = (177 ft)/hypotenuse
Solving for hypotenuse gives
hypotenuse = (177 ft)/sin(31°) ≈ 343.7 ft
The length of the guy wire should be 343.7 ft.
Answer:
80 students decided to take a vanilla cupcake.
Step-by-step explanation:
100 * 0.80 = 80
The range is the set of all y-coordinates.
R = {2, 6, 8}
Multiply top equation by -2, then add equations so b drops out....solve for a...plug in a to get b
I think 121
406 + 94 = 500 and 180 + 199 = 379.
Subtract that and 121 is what’s left.