looking for help on grade 10 trig please - review for exam

ldfa99

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Jan 27, 2017
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the question - A plane is approaching the airport to land . it is at a vertical height or altitude of 850m and a horizontal distance of 5 km from the run way.

Determine if the plane can land at a safe angle of no more the 10 degrees????
 
Well, you say this is part of a review for an exam, so that means you've gone over this material in class before now. So, what have you tried? What are you thoughts? Please share with us any and all work you've done on this problem, even the parts you know are wrong. The more specific you can be about exactly what you've already done, and exactly where you're getting bogged down at, the better help we can provide you. Thank you.
 
here's the problem we have only had 2 classes on this unit and i don't understand this math what so ever - have googled everything i can think of and the equations ive found are a whole new language with my exam on Monday and no school help available & although its only a small % of my mark - id like to know to figure out the answer
 
Alright, so what I'm hearing you say is that you're stuck at the very beginning of the problem and need a hint to even get started. That's perfectly okay. I found a rephrasing of your problem on this page. It says:

In order to safely land, the angle that a plane approaches the runway should be no more than 10 degrees. A plane is approaching Pearson airport to land. It is at an altitude of 850 m. It is a horizontal distance of 5 km from the start of the runway. Is it safe for the plane to land?

I suspect part of the difficulty you're having is that you're uncertain what the problem is even asking you to do/find. Well, with this alternate version, we can clearly see that the task at hand is to find the angle of descent of the plane, and determine if it is less than or equal to 10 degrees. Now, the best way to begin any geometry or trigonometry problem is usually to draw a picture of the problem. Be sure to note that the horizontal distance is 5 kilometers, or 5000 meters, to match units with the given height of 850 meters. Drawing the picture gives you a right triangle. Which of the three angles is the angle of descent? Given that you know two sides, and it's a right triangle, you can calculate the third side. That means you can use any of the three trig functions (sine, cosine, or tangent) to calculate that angle. What do you get as the angle of descent?

If you want a refresher on the topic of finding angles of descent, this Youtube video might be helpful.
 
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