Trigonometry Story ProblemDate: 06/04/2002 at 22:33:13 From: Kyle Subject: Trig. Problem of the Week I need help on this problem. I went to the teacher but he said that I should know how to do this but I don't! Could you please help me? In Coordinateville, all roads run east-west or north-south, so a map of the town looks like a coordinate plane with all roads intersecting at right angles. The superintendent of schools wants to create two new roads in order to have a more direct route from the middle school to the high school and from the superintendent's office to the high school. The current locations of the high school, middle school and superintendent's office can be seen in the map below. Looking at the map, you can see that to go from the high school to the middle school, you need to travel 4 blocks south and 3 blocks east. To go from the high school to the superintendent's office, you travel 7 blocks east and 4 blocks south. If two new roads are constructed, one from the middle school to the high school and one from the superintendent's office to the high school, as shown in the diagram below, what will be the measure, in degrees, of the angle formed by their intersection? Pleeeeeeeease get back to me ASAP. Thank you. Date: 06/05/2002 at 08:55:55 From: Doctor Ian Subject: Re: Trig. Problem of the Week Hi Kyle, If I understand your description correctly, the map looks like this: 7 H ---------------------B | | | | 4 4 | | | | A---------M S 3 where H is the high school, M is the middle school, and S is the superintendent's office. Have I got it right? If so, then the tangent of angle MHA is 3/4, which means you can look up angle MHA. And the tangent of angle SHB is 4/7, so you can look up angle SHB. Can you take it from here? - Doctor Ian, The Math Forum http://mathforum.org/dr.math/ |
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