ANGLES IN THE REAL WORLD (Hint : Draw diagrams where necessary.) 1. Mark is facing south. If he turns 90° to the right, what direction will he be facing? 2. Irene owns a triangular block of land. She knows that one corner is a 45° angle and the other corner is a right angle. What is the angle size of the third corner?
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3. Katie was heading toward the markets in an eastern direction. She made a 90° turn to her right after 100 metres and then another 90° turn to her right about 200 metres further. In what direction was she now heading?
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4. Lesley noticed that the hands on the clock made a perfect 90° angle and that one of the hands was on the three. What time must it have been? 5. Denis walked 300 metres in a northern direction and made a 90° turn to the right. He then walked a further 250 metres and then made a turn south. How many degrees did he turn and in which direction. 6. Sarah was putting up a sail on her yacht. She noticed the sail was an isosceles triangle and that the smallest corner was a 30° angle. What must the sizes of the two other angles be?
© ReadyEdPubl i cat i ons •f orr evi ew pur posesonl y• What angle will the slide be from the ground
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based on these measurements? Use the box below, a ruler and a pencil to help you draw the model of the slide and then use a protractor to find the size of the angle. 1 box = 1 metre.
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7. The council is planning to build a new slide in the park. The ladder, which stands at 3 metres high when at right angles to the ground, will have a long slide attached to the top. The end of the slide is 7 metres from the bottom of the ladder.
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Angles for dinner? Emily made a pizza for the family. She knew Carl would want the biggest piece and the size of the angle of his slice was 80°. There were four other people that needed a piece. If she made them exactly the same size what angle would each slice be at the point? For dessert, a fresh apple pie was to be cut into 5 equal pieces.
What size angle should each piece be at the point if they are cut to exactly the same size? ................................. Ready-Ed Publications
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