Trig ratios
What is the ratio for sine?
opp/hyp
#7 on jeopardy game sheet
13.4
#12 on jeopardy game sheet
56 degrees
The ladder to the top of a slide is 6 ft long and perpendicular to the ground. If the slide makes an angle of 30° with the ground, then what is the approximate length of the slide?
12 feet
What is the rule for a 45-45-90 triangle?
x - x - x(sqrt 2)
What is the ratio for cosine?
adj/hyp
#5 on jeopardy game sheet
4.6
#11 on jeopardy game sheet
66 degrees
A boy stands on a sidewalk, looks up at a tall building and wonders how tall it is. He is 1.5 meters tall and 8 meters away from the building. How tall is the building if the angle of elevation is 75 degrees?
31.4 meters
What is the rule for a 30-60-90 triangle?
x - x(sqrt 3) - 2x
What is the ratio for tangent?
opp/adj
#6 on jeopardy game sheet
7.6
#10 on jeopardy game sheet
41 degrees
A student lets out 100 feet of string on a kite from a hand height of five feet. The angle between horizontal hand height and the kite is 43°. Find the height of the kite above the ground, to the nearest foot.
73 feet
#13 on jeopardy game sheet. Find y.
6
#1 on jeopardy game sheet
3/5
#3 on jeopardy game sheet
6.9
#8 on jeopardy game sheet
43 degrees
An office is building a ramp in place of the stairs for wheelchair access. Arkansas law states that ramps in a public building must have an angle of elevation of 5 degrees or less.
What is the minimum length the ramp has to be if it reaches 12 inches high?
137.7 inches or 138 inches
#14 on jeopardy game sheet. Find x.
10
#2 on jeopardy game sheet
15/17
#4 on jeopardy game sheet
22.3
#9 on jeopardy game sheet
16 degrees
An office is building a ramp in place of the stairs for wheelchair access. Arkansas law states that ramps in a public building must have an angle of elevation of 5 degrees or less.
Would a ramp of 100 inches be long enough to meet the law requirement if it was 12 inches high? Why or why not?
No because 7 degrees (or 6.9) is larger than 5 degrees.
#15 on jeopardy game sheet. Find x.
6(sqrt 3)