The following questions are for a final class project. Obviously these questions are very hard, and I am unsure how to completely answer these with the proper and complete work shown. Help on answering these questions with work/ steps would be greatly appreciated.
11. A round clock displays the time 2:30am. The length of the minute hand measures 18cm and the length of the hour hand measures 12cm. How far apart are the tips of the hands?
12. A group of mountain climbers are using trigonometry to find the height of a mountain. From point A which is due west of the mountain, the angle of elevation to the top is 27°. From point B which is due west of the mountain the angle is 34°. Point A and B are 9.5m apart. How high is the mountain?
"12. A group of mountain climbers are using trigonometry to find the height of a mountain. From point A which is due west of the mountain, the angle of elevation to the top is 27°. From point B which is due west of the mountain the angle is 34°. Point A and B are 9.5m apart. How high is the mountain?"
Both points are west of the mountain. How do I even draw a diagram to show this?
Theta = 180° - 34°
Theta = 146°
Angle C = 180° - 27° - 146°
Angle C = 7°
Sin A / a = Sin C / c
Sin 27° / a = Sin 7° / 9.5
(Cross Multiplication...)
13.8m = a
Sin B = O / H
Sin 34° = b / 13.8
(Cross Multiplication...)
7.3m = b
Therefore the mountain is 7.3m tall.
Is this the right answer? (I really hope so!)