Misc
Trigonometry
Real World Pythagorean Theorem and Trigonometry
Inverse Trigonometry
100
Use the Pythagorean theorem to solve for x. Round to the nearest hundredths.
13.45 inches
100
What does tan(B) equal as a ratio in a simplified fraction?
5/12
100
Draw a diagram (label sides) of the given situation:
A pilot looked out his window and saw an airport. He estimated it to be at a 7 degree angle of depression while his plane was at an altitude of 10,000 feet. How far was the plane from the airport at that moment?
(you do not need to solve, just draw diagram)
100
What is the inverse sine of (23.8/29)
sin^-1(23.8/29)=55.2
200
Find the measure of each angle indicated. Round to the nearest tenth.
45o
200
What does sin(X) equal as a ratio in a simplified fraction?
3/5
200
A ladder 20 meters long makes an angle of 25 degrees with the side of a building. How far up the wall does the ladder reach? Round your answer to the nearest tenth
18.1 m
200
For an inverse trigonometric function, what is the
1) input
2) output
1) ratio of side lengths
2) angle measure (in degrees)
*answers may vary slightly but should capture definition of inverse trig*
300
The bottom of a ladder must be placed 3 feet from a wall. The ladder is 10 feet long. How far above the ground does the ladder touch the wall? Round your answer to the nearest tenth
9.5 feet
300
Solve for x. Round to the nearest tenth.
5.5
300
How far from the base of the house do you need to place a 15’ ladder so that it exactly reaches the top of a 12’ wall?
9 feet
300
In right triangle
CAB, m∠A=90°. Determine m∠B nearest whole degree when CB=12.8 and AB=3.9.
Cos^-1 (3.9/12.8) = 72.26
400
Solve for the triangle. Round answers to the nearest tenth.
AB = 6.8 in
AC = 3.2 in
<A = 62o
400
Solve for the triangle. Round answers to the nearest tenth.
x = 11/5
<D = 27.5o
<E = 62.5o
400
The diagonal of a square measures 12 inches and bisects the angles it intersects. Find the measure of the sides of the square. Round to the nearest tenth
8.5 inches
400
What angle does the rocket have to be launched at to reach the rocket base 300 km above Earth?
Tan θ = 300 / 90
θ = Tan -1 ( 300 / 90 )
θ = 73 degrees
500
cos(x) = 12/13
tan(x) = 5/12
500
You are standing 45 yards from a telephone pole. There is a black crow on the top of the pole and you make eye contact with it. You estimate that the angle of elevation is 40°. If you are five feet tall, approximately how tall is the telephone pole? Round to the nearest foot.
43 yards
500
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to sprint diagonally across the field from one corner to another. 1) How far do the players run?
2) What angle do they run from the base(width) of the field? Round to the nearest degree
1) 150 meters
2) 53o
500
As modeled below, a movie is projected onto a large outdoor screen. The bottom of the 45-foot-tall screen is 10 feet off the ground. The projector sits on the ground at a horizontal distance of 62 feet from the screen.
Determine and state, to the nearest tenth of a degree, the measure of , the projection angle.
32.4o