Right Triangle Basics
In a right triangle, the side opposite the right angle is called this.
What is the hypotenuse?
This trig ratio equals opposite over hypotenuse.
What is sine?
In a right triangle, one acute angle is 27°. The other acute angle is this.
What is 63°?
Batman is standing on top of Gotham Bank and sees the Riddler standing on the sidewalk across the street. The angle from Batman's line of sight down to the Riddler is called this.
What is the angle of depression?
In terms of three ratios, the Law of Sines can be stated as this.
sinA/a=sinB/b=sinC/c
or
a/sinA=b/sinB=c/sinC
In a right triangle, the sum of the two acute angles equals this.
What is 90°?
The value of cos 45° is this.
What is sqrt(2)/2 or 1/sqrt(2) or approx 0.707 ?
The measure of an acute angle with a sine of 0.819 is this.
What is 54.985°?
The angle of depression and the angle of elevation are congruent angles because they have this relationship.
What are alternate interior angles?
In triangle ABC, angleA=40° , a=12 , and angleB=70°. The length of side b is this.
What is 17.543?
In a triangle with angles 90°, 30°, and 60°, the side opposite the 30° angle is always this fraction of the hypotenuse.
What is 1/2 ?
Given one leg and one of the acute angles of a right triangle, this trig ratio is used to find the other leg.
What is tangent?
A right triangle has an adjacent side of 9 and a hypotenuse of 15. The measure of the angle between them is this.
What is 53.130°?
This is the length of a guy wire attached to the top of a 20 ft pole at a 40° angle to the ground.
What is 26.108 ft?
In triangle ABC, a=7, b=10, and angleC=123°. The length of side c is this.
What is 15.008?
A right triangle with legs of 12 and 16 has a hypotenuse of this length.
What is 20?
A 12-foot ladder leaning against a wall makes a 68° angle with the ground, reaching this height up the wall.
What is 11.126 ft?
Right triangle ABC has legs a=14 and b=20 . The measure of the angle between side b and the hypotenuse is this.
What is 34.992°?
This is the horizontal distance an airplane descending at a 6° angle of depression has traveled after descending 1900 ft vertically.
What is 18077.292 ft?
The number of possible triangles ABC with m∠A = 30º, a = 7, and b = 16 is this.
What is zero?
A right triangle with a hypotenuse of 61 and one leg of 11 also has a leg of this length.
What is 60?
If the tangent of an angle is 16/30, then the sine of the angle is this.
What is 8/17 or approx 0.471 (or an equivalent fraction).
A tree casts a 28-foot shadow, and the angle of elevation from a point on the ground to the top of the tree is 32°. The height of the tree is this.
What is 17.496 ft?
You stand 150 ft from a building and measure the angle of elevation to the roof of the building as 28°. A balcony is located halfway up the building. The distance from the ground to the balcony is this.
What is 39.878 ft?
The number of possible triangles ABC with m∠A = 30º, a = 10, and b = 16 is this.
What is 2?