# 7.6 Solving Right Triangle Problems.notebook

## Transcription

7.6 Solving Right Triangle Problems.notebook
```7.6 Solving Right Triangle Problems.notebook
2015 05 26
May 26, 2015
7.6 Solving Problems with Right Triangles
Application Problems involving right triangles require you to calculate the length or angle of a triangle. These problems can be set up with a right triangle and solved with the use of:
• Pythagorean Theorem
• Sum of Angles in a Triangle
• Primary Trigonometric Trig. Ratios
SOH CAH TOA
Strategies:
1. Draw a sketch and label.
2. Create a mathematical model using the necessary equations or formulas.
3. Plan your solution ‐ what is the order of steps to solve your problem. Do you have to solve something else first before solving what is required?
4. Execute the plan.
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7.6 Solving Right Triangle Problems.notebook
May 26, 2015
Example 1:
An airplane is approaching a runway at an angle of descent of 30o . What is the altitude of the airplane when it is 15 km along its flight path from the runway?
angle of descent
(or angle of depression)
altitude
angle of elevation
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7.6 Solving Right Triangle Problems.notebook
May 26, 2015
Example 2
A group of students are on an outdoor education trip. They leave their campsite and travel 240 m before reaching the first orienteering checkpoint. They turn, creating a 42° angle with their previous path, and travel another 180 m to get to the second checkpoint. They turn again and travel the shortest possible path back to their campsite.
What area of the woods did their triangular route cover?
campsite
checkpoint # 1
checkpoint # 2
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7.6 Solving Right Triangle Problems.notebook
May 26, 2015
EXAMPLE 3 Ayesha is a forester. She uses a clinometer (a device used to measure angles of elevation) to sight the top of a tree. She measures an angle of 48°. She is standing 7.2 m from the tree, and her eyes are 1.6 m above ground. How tall is the tree?
Homework: p.412‐414 #1, 4 ‐ 6, 10, 11, 14, 15
Reminder:
Review tomorrow
P.T. Thursday
Test Friday
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