Similarity in Right Triangles
Trigonometric Ratios
Solving Right Triangles
Angles of Elevation and Depression
Law of Sines
100
a² + b² = c²
What is the Pythagorean Theorem?
100
The leg that forms one side of an angle in a triangle
What is an adjacent leg?
100
What is an inverse trigonometric ratio used for?
What is an angle measure?
100
The angle formed by a horizontal line and a line of sight to a point below.
What is an angle of depression?
100
Formula for law of sines.
What is sin A/ a = sin B/b = sin C/c?
200
a/x = x/b
What is geometric mean?
200
adjacent/hypotenuse
What is cosine?
200
A 27 foot ladder makes a 35° angle with the ground, how far up the house does the ladder reach? Round to the nearest tenth.
What is 15.5 feet?
200
Mia is looking up at an angle of 30° to the top of a building 700 feet away. How tall is the building? Round to the nearest foot.
What is 404 feet?
200
sin 78° *Round to the nearest hundredth
What is 0.98?
300
The _______ drawn to the overall triangle is the geometric mean between the two triangles.
What is an altitude?
300
A ratio of two sides of a right triangle.
What is a trigonometric ratio?
300
If angle A is equal to cos 0.45, and the hypotenuse is 9 centimeters long. What is the adjacent leg?
What is 4.05 centimeters?
300
A helicopter hovers 450 feet above a flat road. The pilot looks down at a single car that is 45° as angles of depression. What is the horizontal distance from the helicopter to the car?
What is 450 feet?
300
cos 67° *Round to the nearest hundredth
What is 0.39?
400
The geometric mean of 15 and 37.
What is √555?
400
A right has an angle that measures 45°. The leg adjacent to it measures 15 feet, what does the leg opposite to the angle measure?
What is 15 feet?
400
A road has a grade of 34.7%. (This means that the road rises 34.7 feet above a horizontal distance of 100 feet) What angle does the road make with the horizontal line? *Round to the nearest degree*
What is 19°?
400
Laith is parasailing, he looks down 36° (angle of depression) at a boat that is 350 feet away (horizontally). What is the height of Laith from the ocean? *Round to the nearest foot.
What is 254 feet?
400
tan 55° *Round to the nearest hundredth
What is 1.43?
500
The altitude to the hypotenuse of a right triangle divides the hypotenuse into two segments: 20 inches and 45 inches. What is the area of the triangle?
What is 975 inches²?
500
A 25 foot ladder, leaned against a house, makes a 76° angle with the ground. How far away from the house is the ladder? *ROUND TO THE NEAREST FOOT*
What is 6 feet?
500
A springboard at its highest point is 22 inches off the ground, the angle opposite to this point (the base angle that is not 90°) is 56°. How long is the springboard? *Round to the nearest tenth of a foot.
What is 26.5 feet?
500
Mr. Jackson is sitting 25 feet high in a football stadium. The angle of depression to the center of the field is 30°. What is the horizontal distance between Mr. Jackson and the center of the field? *Round to the nearest foot.
What is 43 feet?
500
cos 130° *Round to the nearest hundredth
What is -0.64?