1. What is measure of angle A?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
2. What is measure of angle P?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
3. What is the measure of angle C?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
4. What is the measure of ∠L ?
Enter your answer in the box. Round only your final answer to the nearest hundredth.
5. A board is leaning against a vertical wall. The board makes a 62° angle with the ground and touches the wall at a point that is 45 in. above the ground.
What is the length of the board, rounded to the nearest inch?
24 in.
40 in.
51 in.
96 in.
+36916 These are all basically the same type question involving trig ratios
remember S-O-H-C-A-T-O-A
which stands for, in right triangles.
sin = opposite side / hypotenuse
cosine = adjacent / hypotenuse
tangent = opposite side/adjacent side
Let's do the first one...then you try the rest....
Looking for angle A Opposite side is 4 hypotenuse is 5
SO the sin of angle A = opposite/hypotenuse = 4/5
sin A = 4/5
then use your calculator to use 'ARCSIN' (also called sin inverse) of 4/5
arcsin (4/5) = 53.13 degrees
You could also use cosine or tangent to find angle A
cos A = adjacent/hypotenuse = 3/5 ARCOS (3/5) = 53.13 degrees
....or use the tangent
tangent = opposite/adjacent = 4/3 arctan (4/3) = 53.13 degrees
Now YOU try the others ! Good Luck ! 
+128475 2. We can find P with the tangent inverse (other inverse functions are also possible )
arctan (12/5) = P = 67.38°
3. C = arctan (22/120) = 10.39°
4. We know the adjacent side to L and the hypotenuse.......the cosine inverse is the way to go, here
arccos ( 18/60) = L = 72.54°
5. We know an angle an opposite side and we are looking for the hypotenuse
So.....the sine function is what we need
sin (62) = 45 / hypotenuse rearrange as
hypotenuse = board length = 45 / sin (62) = 51 in
