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Extra info for Brittanica Mathematics in Context Looking at an Angle: Geometry and Measurement
48 Looking at an Angle Reasoning with Ratios E 4. Find the missing distances in the triangles below. Show your work. a. b. c. ? 4 2 ? 4 1 6 1 d. e. f. 8 10 ? 12 2 ? 6 5 C 400 meters B A 1,000 meters The vulture does not have to fly at a glide ratio of 1:10. It can glide at much steeper angles, especially when diving for food. 5. a. What is the vulture’s glide ratio in the picture above? b. Use your calculator to find the size of the glide angle. c. Use the Pythagorean theorem to calculate the length of the vulture’s flight path (BC).
Suppose that you put a stick into the ground near a pyramid. 5 m long. 5 m shadow 1. a. If the shadow of the pyramid is pointing northeast, what direction is the shadow of the stick pointing? b. From what direction is the sun shining? f yo su ra 240 m shadow height ht g nli The picture to the left shows the pyramid and its shadow at the same time of day. The length of the pyramid’s shadow, measured from the center of the pyramid, is 240 m. 2. Compare the height of the stick and the length of its shadow to find the height of the pyramid.
Fill in the missing glide angles by using the scale drawings you made for problem 8. Measure the angles using a compass card or protractor. Glide ratios can also be expressed as fractions or decimals. 10. Which of the following glide ratios are equivalent? 20 4:120 ᎑᎑᎑᎑ 4 50 36 Looking at an Angle Glide Angles D Suppose that it is safe to fly gliders that have a glide ratio smaller than 1:10. 11. What is the largest glide angle that is safe? Suppose three gliders have the following glide ratios.