4.8 Solving trig probs comp.notebook · 2019-11-18 · 4.8 Solving trig probs comp.notebook 2...

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4.8 Solving trig probs comp.notebook 1 November 18, 2019 Dec 309:09 PM 4.8 Solving Trig Problems Angle of elevation measure from horizontal upwards. Angle of depression measure from horizontal downwards. θ θ

Transcript of 4.8 Solving trig probs comp.notebook · 2019-11-18 · 4.8 Solving trig probs comp.notebook 2...

Page 1: 4.8 Solving trig probs comp.notebook · 2019-11-18 · 4.8 Solving trig probs comp.notebook 2 November 18, 2019 Jan 177:52 AM Ex.1 Juliet's parents will not allow Romeo within 60

4.8 Solving trig probs comp.notebook

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November 18, 2019

Dec 30­9:09 PM

4.8 Solving Trig Problems

Angle of elevation ­ measure from horizontal upwards.

Angle of depression ­ measure from horizontal downwards.

θ

θ

Page 2: 4.8 Solving trig probs comp.notebook · 2019-11-18 · 4.8 Solving trig probs comp.notebook 2 November 18, 2019 Jan 177:52 AM Ex.1 Juliet's parents will not allow Romeo within 60

4.8 Solving trig probs comp.notebook

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November 18, 2019

Jan 17­7:52 AM

Ex.1 

Juliet's parents will not allow Romeo within 60 feet of their castle. Luckily Romeo has found a spot in the forest where he can see Juliet on her balcony without her parents knowing. Unfortunately one day he is found by Juliet's father. If he is staring up at Juliet at an angle of 54o and the balcony is 82 feet off the ground is he far enough away from the castle to satisfy Juliet's parents?

Page 3: 4.8 Solving trig probs comp.notebook · 2019-11-18 · 4.8 Solving trig probs comp.notebook 2 November 18, 2019 Jan 177:52 AM Ex.1 Juliet's parents will not allow Romeo within 60

4.8 Solving trig probs comp.notebook

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November 18, 2019

Dec 30­9:09 PM

Ex.2 

From the top of the 120ft City Hall a man observes a car moving toward the building. If the angle of depression of the car changes from 25o to 55o during the period of observation, how far does the car travel?

Page 4: 4.8 Solving trig probs comp.notebook · 2019-11-18 · 4.8 Solving trig probs comp.notebook 2 November 18, 2019 Jan 177:52 AM Ex.1 Juliet's parents will not allow Romeo within 60

4.8 Solving trig probs comp.notebook

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November 18, 2019

Dec 30­9:09 PM

Ex. 3

A large helium filled Robinette is moored at the beginning of the Winter Parade for the Nighthawks. Two cables are attached to the underside of the inflatable Robinette at angles of 50o and 35o with the ground as can be seen in the diagram. If the cables are attached to the ground 15ft apart, how high is the inflatable Robinette?

Page 5: 4.8 Solving trig probs comp.notebook · 2019-11-18 · 4.8 Solving trig probs comp.notebook 2 November 18, 2019 Jan 177:52 AM Ex.1 Juliet's parents will not allow Romeo within 60

4.8 Solving trig probs comp.notebook

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November 18, 2019

Dec 30­9:09 PM

Ex. 4

Mr. George decides on a change of career and becomes a US coastguard. His patrol boat leaves San Francisco and averages 35 knots traveling for 2 hours on a course of 55o and then 3 hours on a course of 145o. What is Mr. George's bearing and distance from San Francisco?