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:
2/14 or 1/7
Step-by-step explanation:
Half the girls where glasses so 2 girls.
there are only 2 girls that wear glasses out of all the 14
so the answer is 2/14
Formula is:
Number of reams per case x number of cases
11 x 12 = 132 reams
41 times 0.15 equals 6.15. as you can't have 0.15 of a band, that means only 6 bands will compete.