Presentation is loading. Please wait.

Presentation is loading. Please wait.

EXAMPLE 4 Find a hypotenuse using an angle of depression SKIING

Published byEileen Rice Modified over 9 years ago

Similar presentations

Presentation on theme: "EXAMPLE 4 Find a hypotenuse using an angle of depression SKIING"— Presentation transcript:

1 EXAMPLE 4 Find a hypotenuse using an angle of depression SKIING You are skiing on a mountain with an altitude of 1200 meters. The angle of depression is 21o. About how far do you ski down the mountain?

2 Find a hypotenuse using an angle of depression
EXAMPLE 4 Find a hypotenuse using an angle of depression SOLUTION opp. hyp. = sin 21o Write ratio for sine of 21o. 1200 x = sin 21o Substitute. x sin 21o = Multiply each side by x. x = 1200 sin 21o Divide each side by sin 21o x 1200 0.3584 Use a calculator to find sin 21o x 3348.2 Simplify. ANSWER You ski about 3348 meters down the mountain.

3 GUIDED PRACTICE for Example 4 Suppose the angle of depression in Example 4 is 28°. About how far would you ski? 6. WHAT IF? ANSWER about 2556 m

Download ppt "EXAMPLE 4 Find a hypotenuse using an angle of depression SKIING"

Similar presentations

Section 7.6 Apply the Sine and Cosine Rations.

Section 7.6 Apply the Sine and Cosine Rations.
EXAMPLE 2 Find a leg length ALGEBRA Find the value of x. SOLUTION Use the tangent of an acute angle to find a leg length. tan 32 o = opp. adj. Write ratio.

EXAMPLE 2 Find a leg length ALGEBRA Find the value of x. SOLUTION Use the tangent of an acute angle to find a leg length. tan 32 o = opp. adj. Write ratio.
Warm-Up Exercises 2. Name the leg opposite X. 1. Name the hypotenuse. Use this diagram for Exercises 1-4. ANSWER YZ ANSWER XZ.

Warm-Up Exercises 2. Name the leg opposite X. 1. Name the hypotenuse. Use this diagram for Exercises 1-4. ANSWER YZ ANSWER XZ.
EXAMPLE 1 Solve a triangle for the SAS case Solve ABC with a = 11, c = 14, and B = 34°. SOLUTION Use the law of cosines to find side length b. b 2 = a.

EXAMPLE 1 Solve a triangle for the SAS case Solve ABC with a = 11, c = 14, and B = 34°. SOLUTION Use the law of cosines to find side length b. b 2 = a.
Warm Up Find the unknown length for each right triangle with legs a and b and hypotenuse c. NO DECIMALS 5. b = 12, c =13 6. a = 3, b = 3 a = 5.

Warm Up Find the unknown length for each right triangle with legs a and b and hypotenuse c. NO DECIMALS 5. b = 12, c =13 6. a = 3, b = 3 a = 5.
Find hypotenuse length in a triangle EXAMPLE 1

Find hypotenuse length in a triangle EXAMPLE 1
9.6 Solving Right Triangles Geometry Mrs. Spitz Spring 2005.

9.6 Solving Right Triangles Geometry Mrs. Spitz Spring 2005.
EXAMPLE 1 Find hypotenuse length in a 45-45-90 triangle o o o Find the length of the hypotenuse. a. SOLUTION hypotenuse = leg 2 = 8 2 Substitute. 45-45-90.

EXAMPLE 1 Find hypotenuse length in a triangle o o o Find the length of the hypotenuse. a. SOLUTION hypotenuse = leg 2 = 8 2 Substitute
Write decimal as percent. Divide each side by 136. Substitute 51 for a and 136 for b. Write percent equation. Find a percent using the percent equation.

Write decimal as percent. Divide each side by 136. Substitute 51 for a and 136 for b. Write percent equation. Find a percent using the percent equation.
EXAMPLE 5 Find leg lengths using an angle of elevation SKATEBOARD RAMP You want to build a skateboard ramp with a length of 14 feet and an angle of elevation.

EXAMPLE 5 Find leg lengths using an angle of elevation SKATEBOARD RAMP You want to build a skateboard ramp with a length of 14 feet and an angle of elevation.
EXAMPLE 5 Find leg lengths using an angle of elevation SKATEBOARD RAMP You want to build a skateboard ramp with a length of 14 feet and an angle of elevation.

EXAMPLE 5 Find leg lengths using an angle of elevation SKATEBOARD RAMP You want to build a skateboard ramp with a length of 14 feet and an angle of elevation.
EXAMPLE 2 Find a leg length ALGEBRA Find the value of x. SOLUTION Use the tangent of an acute angle to find a leg length. tan 32 o = opp. adj. Write ratio.

EXAMPLE 2 Find a leg length ALGEBRA Find the value of x. SOLUTION Use the tangent of an acute angle to find a leg length. tan 32 o = opp. adj. Write ratio.
There are three ratios that you need to learn: Where are the hypotenuse, adjacent and opposite lengths. This is opposite the right-angle This is next to.

There are three ratios that you need to learn: Where are the hypotenuse, adjacent and opposite lengths. This is opposite the right-angle This is next to.
Warm Up Given the measure of one of the acute angles in a right triangle, find the measure of the other acute angle. 1. 45° 2. 60° 3. 24° 4. 38° 45°

Warm Up Given the measure of one of the acute angles in a right triangle, find the measure of the other acute angle ° ° 3. 24° ° 45°
Algebra 2 Lesson 1: Right Angle Trig.. Warm Up Given the measure of one of the acute angles in a right triangle, find the measure of the other acute angle.

Algebra 2 Lesson 1: Right Angle Trig.. Warm Up Given the measure of one of the acute angles in a right triangle, find the measure of the other acute angle.
Use this diagram for Exercises 1–4.

Use this diagram for Exercises 1–4.
EXAMPLE 3 Solve a right triangle

EXAMPLE 3 Solve a right triangle
7-7 Solving Right Triangles Geometry Objectives/Assignment Solve a right triangle. Use right triangles to solve real-life problems, such as finding the.

7-7 Solving Right Triangles Geometry Objectives/Assignment Solve a right triangle. Use right triangles to solve real-life problems, such as finding the.
Apply Sine and Cosine Ratios 5.3 (M2). Vocabulary Sine and Cosine ratios: trig. Ratios for acute angles with legs and hypotenuse C B A.

Apply Sine and Cosine Ratios 5.3 (M2). Vocabulary Sine and Cosine ratios: trig. Ratios for acute angles with legs and hypotenuse C B A.
EXAMPLE 4 Using a Sine Ratio Ski Jump

EXAMPLE 4 Using a Sine Ratio Ski Jump

Similar presentations

Ads by Google