1. c = 8 x = 5
2. b = 7.5 y = 4
4. sin b = 3/5 or .6
5. cos b = 4/5 or .8
6. tan b = 3/4 or .75
7. They are the same
8. Yes.. sin b = B/A, but B=7 and sin B = .214, so by substitution, .214 = 7/A
or .214/1 = 7/A. By cross multiplication, .214A = 7 A = 7/.214
9. If you know the value of the sin of an angle, you can find the measure of
the angle itself by finding what angle measure gives this value for sin. You
can use this trick to find the angle if you know the opposite and hypotenuse lengths.
10. Sin b = 5/8 or .625. Use arcsin function or try values of sin to find angle b
measure is around 39 degrees
11. Yes. tan b = B/C since you know B and C, you can find the value of the tan of B. The arctan of b will be the angle measure.
12. tan 12 = 14000 / your distance from the top of Rainier in feet, lets call that x. tan 12 = .2126 So, you have .2126 = 14000/x Or, .2126x=14000. x = 14000/.2126
x = 65851 Now divide this by 5280 to get the number of miles you are away from
the top of the mountain. x = 12.47 miles from Mt Rainier