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Similar Question 1

<p>Joanne and Sandy are hiking from Cedar Camp to Lookout Point along the hiking trail shown.</p><img src="/qimages/5490" /><p>Cedar Camp is 2.5 km from Old Side Road along Maple Road, which runs flat. The hiking trail makes an angle of 30° with Maple Road and climbs at an average angle of elevation of 15°.</p><p>a) How far apart would Cedar Camp and Lookout Point appear, according to a normal map?</p><p>b) What distance do the hikers actually walk? Why are these answers different?</p><p>c) What is the difference in elevation between Lookout Point and Cedar Camp?</p><p>d) What is the average angle of elevation of the section of Old Side Road that is shown?</p>

Similar Question 2

<p>Cheryl considers Option 2, to go around the tree in two shots. In shot one, she will shoot to the end of the line of trees to position A. In shot two, she will aim for the hole.</p><img src="/qimages/1616" /><p>The tree line is 70 m long, and the line joining Cheryl's ball and the hole, CB, passes through the middle of the tree line, at a right angle.</p><p>a) At what angle from CB should Cheryl make her first shot, in order to land near A?</p><p>b) Assume that Cheryl succeeds with her first shot and her golf ball lands at A. At what angle from the tree line must she aim for her second shot?</p>

Similar Question 3

<p>Lily estimates that the lines of sight to her enemies are 80° apart, as shown. She also recalls, from the technical plans of the space station, that consecutive levels are 10 m apart, vertically. Lily can leap a horizontal distance of 12 m. Will Lily make the jump?</p><img src="/qimages/5406" />

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Learning Path

L1
Quick Intro to Factoring Trinomial with Leading a

L2
Introduction to Factoring ax^2+bx+c

L3
Factoring ax^2+bx+c, ex1

Now You Try

<p>A hot-air balloon is used to give rides to visitors at a summer fair. The balloon is tethered to the ground by a long cable. The cable is extended to its maximum length of 300 m, and the wind is blowing the balloon such that the cable makes an angle of 60° with the ground. The cable is pulled in to 200 m, but the wind strengthens, decreasing the angle to 45°.</p><p>a) Sketch the two positions of the balloon, including distances and angles.</p><p>b) Find an exact expression for the horizontal distance that the balloon moves between the two positions.</p>

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