# MAFS.912.G-SRT.3.8

## Scientific Calculator

Click on icon to access FSA online calculator

Congruence, Similarity, Right Triangles & Trig - 46%

## MAFS.912.G-

Circles, Geometric Measurement & Geometric Properties with Equations - 38%

## MAFS.912.G-

Modeling with Geometry - 16%

## What You Need To Know...

MAFS.912.G-SRT.3.8 - Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.

Also assesses MAFS.912.G-SRT.3.6 - Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle and MAFS.912.G-SRT.3.7 - Use the relationship between the sine and cosine of complementary angles.

1. The benchmark will be assessed using Equation Response, Matching Response, Movable Text Response, Multiple Choice Response, or Open Response.

2. Items may require students to use similarity to explain the definition of trigonometric ratios for acute angles.

3. Items may require students to explain and use the relationship between sine and cosine of complementary angles.

4. Items will assess only sine, cosine, and tangent to determine the length of a side or an angle measure.

5. Equation Response may require the student to use the inverse trigonometric function to write an expression.

## Example Four

The question should be how much further does he have to walk after his break?

Click For Solution

## Example Nine

Nara created two right triangles.  She started with  JKL and drew an altitude from point K to side JL.  The diagram below shows   JKL  and some of its measurements, in centimeters (cm).

Based on the information in the diagram, what is the measure of x to the nearest tenth of a centimeter?

Click For Solution

## Example Ten

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

Click For Solution

## Example Eleven

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   ?

Using Sine
Using Cosine
Using Tangent
Using Secant
Using Cosecant
Using Cotangent
Find Angle using Cosine
Find Angle Using Sine
Find Angle Using Tangent
Apply Trig and the Pythagorean Theorem

## Reference Sheet

Select sample problems taken from FLDVIPN teacher materials

Violet Esopakis - Palm Beach Co.
Stephanie Fitzwater - Seminole Co.
Angela Kerins - Orange Co.
Lisa Lasseter - St. Johns Co.
Jeremy Lowery - Escambia Co.
Jodi Van Wagoner - Brevard Co.

Website Development by

Jeremy Lowery - Escambia Co.

Sheila Montgomery - Escambia Co.

Debra Robertson - Escambia Co.