MA.912.T.2.1 Trigonometric Ratios

Trig & Discrete Math

Explore 8-4; 561
Section 8-4; 562-571
Extend 8-4; 572
Section 8-6; 582-591
Extend 8-6; 592

What You Need To Know...

Trigonometric ratios in terms of angles of right triangles.

1. The benchmark will be assessed using MC (Multiple Choice) and FR (Fill in Response) items.
2. Angle measures will be in degree measure.
3. Items will assess sine, cosine, and tangent to determine the length of a side or an angle measure.

Example One

A tackle shop and restaurant are located on the shore of a lake and are 32 meters (m) apart.  A boat on the lake heading toward the tackle shop is a distance of 77 meters from the tack shop.  This situation is shown in the diagram below, where point T represents the location of the tackle shop, point R represents the location of the restaurant, and point B represents the location of the boat.

The driver of the boat wants to change direction to sail toward the restaurant.  Which of the following is closest to the value of x?

1. 23
2. 25
3. 65
4. 67

Example Two

Mr. Rose is remodeling his house by adding a room to one side, as shown in the diagram below.  In order to determine the length of the boards he needs for the roof of the room, he must calculate the distance from point A to point D.

What is the length, to the nearest tenth of a foot, of   ?