Trigonometric Functions in Right Triangles

Judy from the AP program reviews right triangle trigonometry, covering sine, cosine, and tangent functions. The lesson includes examples of identifying trigonometric ratios, calculating angles, and applying these concepts to real-life situations like a ladder and a monument. The video aims to reinforce foundational skills for AP pre-calculus, encouraging students to practice and build confidence.

What is the primary purpose of using trigonometry in right triangles?

• To calculate the perimeter of the triangle

• To find the area of the triangle

• To determine the length of the hypotenuse

• To solve problems involving missing angle measures

Tags

CCSS.HSG.SRT.C.6

Which trigonometric function is used to find the ratio of the opposite side to the hypotenuse?

• Sine

• Secant

• Tangent

• Cosine

Tags

CCSS.HSG.SRT.C.6

In a right triangle, if the opposite side is 12 and the hypotenuse is 13, what is the sine of the angle?

• 13/12

• 12/13

• 5/12

• 5/13

Tags

CCSS.HSG.SRT.C.6

If the adjacent side is 5 and the hypotenuse is 13, what is the cosine of the angle?

• 13/5

• 5/12

• 12/13

• 5/13

Tags

CCSS.HSG.SRT.C.6

What is the tangent of an angle if the opposite side is 12 and the adjacent side is 5?

• 5/13

• 13/5

• 12/5

• 5/12

Tags

CCSS.HSG.SRT.C.8

In the ladder problem, which trigonometric function is used to find the distance from the wall?

• Tangent

• Cosine

• Cosecant

• Sine

Tags

CCSS.HSG.SRT.C.8

What is the height the ladder reaches if the sine of 73 degrees is used and the hypotenuse is 7 meters?

• 5.00 meters

• 6.69 meters

• 7.00 meters

• 2.05 meters

Tags

CCSS.HSG.SRT.C.8

In the monument problem, what is the angle of elevation of the sun if the tangent of the angle is 0.592?

• 45 degrees

• 30.6 degrees

• 60 degrees

• 22.5 degrees

Which side of the triangle is considered the opposite leg in the monument problem?

• The shadow of the monument

• The height of the monument

• The hypotenuse

• The base of the triangle

Tags

CCSS.HSG.SRT.C.8

What trigonometric function is used to find the angle of elevation in the monument problem?

• Sine

• Cosine

• Tangent

• Cotangent

Tags

CCSS.HSG.SRT.C.8