Sport Triangles

Videos to help with the assignment:

How to make lines in different colors in Paint

How to label lengths of sides in Paint

Sine example

Cosine example

Tangent example

Pythagorean Theorem

Using inverse trig to find an angle

Solution

Step 1: Create a triangle. Use the best route line as one of the sides of the triangle. (Purple Lines)

Step 2: Find the length of the sides of the triangle that you drew to create the triangle (Red)

To find the 17.32 side length, take 26.32 – 5 – 4 = 17.32

To find the 10 side length, take 17 – 3 – 4 = 10

Step 3: Use the Pythagorean Theorem to find the distance the golf ball must travel. (Light Blue)

The golf ball travels 20 feet to reach the hole.

Step 4: Use the Angle Properties to find the measure of the third angle. (Dark Blue)

The Hole Angle: (the angle between 17.32ft and 20ft)

180° – 90° – 60° = Hole Angle measure

30° = Hole Angle

Side Lengths, Angles, and Calculations

Points Awarded

Total

Hole #2

Leg Length (1 point)

Leg Length (1 point)

Leg Length (1 point)

Total distance ball travelled (1 point)

___/1

___/1

___/1

___/1

___/4

Hole #3

One Triangle: Second Triangle:

Leg Length (given) Leg Length (given)

Leg Length (given) Leg Length (1 point)

Hypotenuse Length (1 point) Hypotenuse Length (given)

One angle (given) One angle (given)

Second angle (1 point) Second angle (1 point)

Right angle (you draw in; 1 point) Right angle (you draw in; 1 point)

Total distance ball travelled (2 points)

T. 1 T. 2

Given Given

Given ___/1

___/1 Given

Given Given

___/1 ___/1

___/1 ___/1

___/2

___/8

Total

___/12