9514 1404 393
Answer:
∠B = 40° or 140°
Step-by-step explanation:
The given angle is opposite the shortest of the given sides, so there are two possible solutions.
From the law of sines, ...
B = arcsin(b/a·sin(A)) = arcsin(9/7·sin(30°)) = arcsin(9/14)
Possible values for angle B are ...
B = arcsin(9/14) ≈ 40.0°
B = 180° -arcsin(9/14) ≈ 140.0°
9514 1404 393
Answer:
34.88 feet
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
We want to find the length of the side adjacent to the measured angle. The hypotenuse is the ladder length.
cos(29.32°) = distance/(40 ft)
distance = (40 ft)cos(29.32°) ≈ 34.876°
The base of the ladder is about 34.88 feet from the building.
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<em>Additional comment</em>
It extends about 19.59 feet up the side of the building.
X=-6 y=12 that is the answer
Matt ran the farthest. David ran the least and Shane was the second farthest runner. Since half of 8 is 4, that shows that it is 1/8 shorter than what Matt ran.
Not sure. Sorry! I will edit when I get an answer.