Answer:
(a) 412 ft
(b) 276 ft
Step-by-step explanation:
Consider the attached diagram.
(a) The internal angle of triangle RBT at B is 90° -10° = 80°. Since we know lengths RB and BT, we can find the length RT using the law of cosines:
RT² = RB² +BT² -2·RB·BT·cos(80°) = 190² +400² -2·190·400·cos(80°)
RT² ≈ 169,705.477
RT ≈ √169,705.477 ≈ 411.95
The guy wire to the hillside should be about 412 feet long.
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(b) The Pythagorean theorem can be used to find the shorter wire length.
LM² = LB² +MB²
LM = √(190² +200²) = √76,100
LM ≈ 275.86
The guy wire to the flat side should be about 276 feet long.
Well... you don't necessarily need to get the cosine value, in order to get the double angle
FIRST (y x 4 - y x 3 + 2y x 2 + y -1) / (y x 3 + 1)
SECOND (4y-3y+4y+y-1) / (3y+1)
THIRD (6y-1) OVER (3y+1)
Answer:
q=4/3
Step-by-step explanation:
simplify the right side, to 5/3
5/4q=5/3
multiply 4/5 on both sides
q = 5/3*4/5
q = 4/3
Answer:
36 ft
Step-by-step explanation:
So the proportion of the big triangle is 48:4 or 12:1. So if the small triangle’s height is 3 feet, then 3*12 is 36 feet.