Pythagorean Theorem
Trigonometry
Real World Pythagorean Theorem and 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)
200
Use the pythagorean theorem to solve.
a = 3
b = 4
c = ?
5
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
300
Use the pythagorean theorem to solve. Round to the nearest hundredths
a = 7
b = ?
c = 16
14.39
300
Solve for x. Round to the nearest tenth.
5.5
300
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
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
400
When a child is flying a kite has let out 50 m of string, the string makes an angle of 55 degrees with the ground. How high is the kite? Round your answer to the nearest tenth
41.0 m
400
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
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. How far do the players run?
150 meters
500
A child is standing across the street from his apartment. His mother is at the window looking down at him. The angle of elevation between the child’s eyes and his mother’s eyes is 42°. If the distance between their eyes is 32 ft, how far is the child standing from his apartment building? Round to the nearest foot.
24 feet
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