Trigonometry Flashcards
Which famous theorem does the Law of Cosines boil down to for right triangles?
Pythagorean Theorem
When the angle of elevation of the sun is 32 degrees, a flagpole casts a shadow that is 10 feet long. In feet, how tall is the flagpole?
6.25 feet
A ladder that is 125 feet long is resting against the side of a house at an angle of 70 degrees. In feet, how far up the side of the house does the ladder reach?
117.46 feet
In right triangle ABC, where angle A measures 90 degrees, side AB measures 15 and side AC measures 36, what is the length of side bc?
39
A support wire is anchored 10 meters up from the base of a flagpole, and the wire makes a 25 degrees angle with the ground. How long is the wire? Round your answer to two decimal places.
23.81 meters
When the sun is 22 degrees above the horizon, how long is the shadow cast by a building that is 60 meters high?
150 meters
An airplane takes off from point A and reaches its maximum altitude of 31,000 ft. The angle from the point of takeoff to the plane at maximum altitude is 55 degrees. What is the distance from point A to where the plane reaches maximum altitude?
37, 844 feet
You have a shadow that measures 66 cm from your feet. You are 60 cm tall. What is the sun’s angle of elevation? Round to the nearest degree.
48 degrees
If the height of a stair is 2 ft, and the length of the stair is 3 ft, how long must the ramp be to cover the stair?
3.6 feet
In a right triangle, the legs are 7 and 24. What is the length of the hypotenuse?
25
3 sin x = cos 2x
x = 0.285; 2.857
2cos(x) - 1=0
60, 300
In a figure, if angle c= 90 degrees, side x= 12, and side z= 8, what is the measure of angle a?
41.8 degrees
Give the value of sec 26 degrees - csc 64 degrees
0
Name the real apart of this expression and the imaginary part of this expression: 3 - 7i.
Real: 3
Imaginary: - 7i
