Tutors Answer Your Questions about Geometry Word Problems (FREE)
Question 1209079: Overlay a rectangular coordinate system on a Little League baseball diamond so that the origin is at home plate, the positive x-axis lies in the direction from home plate to first base, and the positive y-axis lies in the direction from home plate to third base.
(a) What are the coordinates of first base, second base, and third base? Use feet as the unit of measurement.
(b) If the right fielder is located at (180,20), how far is it from the right fielder to second base?
(c) If the center fielder is located at (220,220), how far is it from the center fielder to third base?
Click here to see answer by textot(100)  |
Question 1209061: Verify that the points (0,0), (a,0) and (c,d) are the vertices of an equilateral triangle.
Note: c = (a/2) and d = (a•sqrt{3})/2
Then show that the midpoints of the 3 sides are the vertices of a second equilateral triangle.
Click here to see answer by textot(100) |
Question 1188293: The direction of a railroad cut is perpendicular to the horizontal ridge AB. Assuming the sides of the ridge to be plane surfaces making equal angles with the horizontal, find the amount of earth removed if the base is a rectangle, 30 ft. wide by 400 ft. long, in a plane 60 ft. below the line AB; and the sides of the cut are inclined 45 degrees to the horizontal.
Click here to see answer by CPhill(1959)  |
Question 1173737: Airport B is 320 miles from airport A on a bearing of S40°E. A pilot wishes to fly from A to B, but to avoid a storm must first fly due East at a speed of 210 mph for an hour, and then from this point (call it C) turns to fly to B. Find the distance, to the nearest mile, and the bearing, to the nearest degree, that the pilot must fly to airport B?
Click here to see answer by CPhill(1959) |
Question 1173661: Triangle A, B and C are three points on a horizontal field. A is due west of B, the bearing of B from C is 125 degrees, AB = 430m and BC = 460m.
At a certain instant, a hot air balloon is at a point which is directly above C.Given that the angle of elevation of the hot air balloon from B is 5.2 degrees, find the angle of elevation of the hot air balloon from A.
Click here to see answer by CPhill(1959) |
Question 1168317: The length of the base of the triangular sheet of canvass above the door of the tent is 3 ft. more than its height (altitude). The area is 5 ft2. Find the height and the length of the base of the triangle.
Click here to see answer by ikleyn(52781)  |
Question 1165224: Miles takes a 350-mile round-trip flight to visit his parents. To qualify for Gold status at Awesome Airlines, one must fly at least 4200 and less than 15400 miles each year. How many times would Miles need to visit his parents each year to attain Gold status? Express your answer in interval notation.
Click here to see answer by ikleyn(52781) |
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