What are the six trigonometric ratios of acute angles?
What is sine, cosine, tangent, cotangent, secant, and cosecant?
100
Before trying to put the equation of a trigonometric ratio into your calculator, what must you do with the calculator?
What is setting your calculator to degree?
100
In triangle ABC angle A is acute, in relation to angle a what is side BC?
What is Opposite.
100
Identify the Sine and Cosine of angle E on the following triangle?
What is Sine(63)= (6/8.3) , Cosine(63)= (2.5/8.3) ?
100
A six-meter-long ladder leans against a building. If the ladder makes an angle of 60° with the ground, how far up the wall does the ladder reach? How far from the wall is the base of the ladder? Round your answers to two decimal places, as needed.
What is 5.20 meters up the wall,
and 3 meters from the wall?
200
Are these triangles similar? if yes, list the simplified ratios (sine, cosine, tangent) in relation to angles C and F
Yes. sin(C/F)=7/8, cos(C/F)=1/2, tan(C/F)=7/4
200
Identify the missing side and ratio of triangle WXY from angle z.
What is the hypotenuse and (4/3)?
200
In relation to angle C which line would be the hypotenuse?
What is line BC.
200
The right triangle ABC has a hypotenuse of 13 inches. Line AC is 12 inches long and BC is 5 inches long. If the sine of angle A is (5/13), what is the angle the would give the corresponding cosine?
What is Angle B?
200
A five-meter-long ladder leans against a wall, with the top of the ladder being four meters above the ground. What is the approximate angle that the ladder makes with the ground?
What is about 53°?
300
Find the height h of a flagpole if you are standing 100 feet from its base at 37degrees angle of elevation.
What is h = 75.4 feet.
300
For the triangle shown, find the value of y, accurate to two decimal places. (Note: switch mode back to radians for this problem.)
What is y = 14.44
300
What is line AC in relation to angle B?
What is Opposite.
300
What is the simplified sine of angle ACB?
What is (3/5)?
300
A squirrel is standing 14 feet away from a tree. The angle from it's home to the squirrel is 16 degrees. What is the height of the tree?
What is 48.8 feet?
400
In a right triangle, sin θ = 5/13 . Sketch the triangle, place the ratio numbers, and evaluate the remaining functions of θ.( all six trigomometric ratios)
What is sin θ =5/13, csc θ =13/5, cos θ =12/13,
sec θ =13/12, tan θ =5 /12, cot θ = 12/5?
400
In the triangle shown, find the value of x, accurate to three decimal places.
What is x = 190.047 units
400
Identify the trigonometric ratio that would be used to solve this triangle.
What is cosine?
400
What is the simplified ratios of cosine and sine of angle BAC?
What is Sine(A)= 24/25, Cosine(A)= 7/25?
400
A private plane flies 1.3 hours at 110 mph on a bearing of 40°. Then it turns and continues another 1.5 hours at the same speed, but on a bearing of 130°. At the end of this time, how far is the plane from its starting point? What is its bearing from that starting point?
What is about 218 miles away, at a bearing of about 89°?
500
Find the angles and sides indicated by the letters in the diagram. Give each answer correct to the nearest whole number.
What is r = 35, s = 25
500
List the values of sin(α), cos(α), sin(b), and tan(b) for the triangle below, accurate to three decimal places.
What is sin(α) = 0.670, cos(α) = 0.742, sin(b) = 0.742, tan(b) = 1.108
500
What is the length of the tangent(b) in relation to angle B? Round to the nearest tenths.
What is 3.7m?
500
What is the relationship between the trigonometric ratios Sine and Cosine for triangle ABC?
The sine of angle A is the same as the cosine of angle B.
500
Oscar's dog house is shaped like a tent. The slanted sides are both 7 feet long and the bottom of the house is 6 feet across. What is the height of his dog house, in feet, at its tallest point? Round to the hundredths.