Miscellaneous
In right triangle ABC, angle B = 90 degrees, angle A = 12 degrees and side a = 15 meters. Find side b.
Round to the nearest degree.
What is 72 degrees?
In the equation:
y=12 sin (.5x-3) + 4,
what is the maximum and minimum y-value?
If (cscx-2)(2cscx-1) = 0, then x terminates in what quadrants?
What is quadrants 1 and 2?
In triangle ABC, angle A = 42 degrees, side a = 17 meters, and side c = 22 meters. Solve for angle C.
Round to the nearest degree.
What is 60 degrees?
In right triangle ABC, angle C = 90 degrees. If side a= 15 cm and side c = 20 cm, solve for side b.
Round to the nearest hundredth.
What is 13.23 cm?
Round to the nearest hundredth.
What is 5.6 degrees Fahrenheit?
In the equation
f(t) = T sin (bt + 12)
What is the period?
What is 2pi/b ?
If csc2x-4cscx + 4= 0, then x terminates in what quadrants?
What is quadrants 1 and 2?
In triangle ABC, side C = 55 cm, side B = 50 cm, and angle A = 61 degrees. Solve for side a.
Round to the nearest tenth.
What is 53.5 cm?
A tightrope walker is walking a tightrope that places her line of sight exactly 37 feet above the ground. She looks down at a spot on the ground and the angle of depression is 23 degrees. She walks for a few moments and looks down at the same spot again, and the angle of depression is now 38 degrees. How far did she walk? (Round to nearest tenth.)
What is 39.8 feet?
If x is a positive acute angle and cos x = b, find tan x in terms of a.
What is: (sqrt (1-b2)) / b
The equation y = 27.4 sin (.52 x - 1.72) + 26.5 models the average daily temperature in Fairbanks, Alaska. Find the maximum, minimum, and start/stop of a period.
What is:
Maximum: 53.9 degrees
Minimum: -0.9 degrees
Start: 3.31 months
Stop: 15.37 months
Assume you are solving a trig equation for x between 0 and 360 degrees by using the quadratic formula.
You have gotten to one the last steps, and you have:
sin x= -5 +- sqrt (9) / 4
Solve for x.
What is 210 degrees and 330 degrees?
Two runners leave a cafe at the same time. Their walking paths form an angle of 52 degrees. Their speeds are 6 miles per hour and 9 miles per hour. How far apart, to the nearest hundredth, are the runners after two hours?
What is 14.21 miles?
Define a radian in two sentences or less.
A radian is the angle formed by taking the radius and wrapping it around the outside of a circle.
In triangle ABC, angle A = 43 degrees, angle B = 72 degrees, and side b = 12 meters. Find the area of the triangle.
Round to the nearest unit.
What is 47 square meters?
The equation y = 15.62 sin (.52 x - 1.58) + 40.38 models the average daily temperature in Juneau, Alaska.
According to the equation, when (to the nearest day) during the year is the average daily temperature 50 degrees?
What is May 10th and August 25th?
In the interval from 0 to 360 degrees, what are the values of x that satisfy the equation:
4 sin2x -2sinx = 1
What is 54 degrees, 126 degrees, 198 degrees, and 342 degrees?
In triangle ABC, side a = 10 feet, side b = 8 feet, and side c = 3 feet.
Solve for all three angles, and round to the nearest tenth of a degree.
What is:
Angle A = 14.4 degrees
Angle B = 11.5 degrees
Angle C = 154.1 degrees
You've designed a new ferris wheel! It has a diameter of 50 feet and the height of the axle is 30 feet. The wheel rotates once every 6 minutes. Consider x=0 to be the time when the passenger is at the very top of the ferris wheel.
Write an equation that models the passenger's movement. Remember, the b value = 2pi/period.
y= 25 sin ((pi/3) x) + 30