Jason spends 480 minutes at school each day. The pie chart shows the time he spends in three of his lessons. (a) Measure the sector angle for science. Maths 45° English Science (b) Work out the time, in minutes, Jason spends in English. (c) Jason spends 100 minutes in geography and the rest of the day is free time. Complete the pie chart.
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- Sarah measured her height and she was 4.5 feet tall. Sarah measured her shadow and it was 9 feet long. Sarah measured the trees shadow and it was 90 feet long. What is the angle of the sun above the horizon? How tall is the tree?Roger wants to find the height of the flagpole. Roger is 6 ft tall and casts a shadow about 3 feet long. The flagpole casts a shadow about 11 feet long. Use this information to help Roger find the approximate height, h, of the flagpole. h 6 ft 11 ft 3 ftA boy moves 4 miles south. Then he turns 90 degrees to the left. He moves forward 6 miles. He turns 90 degrees to the left. He moves forward 4 miles. How far is he now than from his starting point? (A) 4 miles (B) 3 miles (C) 6 miles (D) 5 miles
- Florence stands in her backyard and admires her flower gardens. First, she looks to her rose garden. Her rose garden is 80 feet away from her. She turns 63° and views where she has lilies planted. The lily garden is 140 feet away from her. How far apart are the rose garden and the lily garden? Enter your answer, rounded to the nearest tenth of a foot, in the box. feetThe second photo is the answer(A-15)° 24° (-18)
- Anya is an aerial photographer. She plans to photograph the Lion's Gate Bridge from a helicopter. The bridge is 1617 m long. The helicopter will be 470 m above and 600 m away horizontally from one end of the bridge. Can Anya capture the entire distance across the bridge with a 140° wide-angle lens? Draw a diagram with your solution. 470 PIRLANGeography For locations in the United States, the relationship between the latitude l and the greatest angle of elevation a of the sun at noon on the first day of summer is a = 90° - l + 23.5°. Find the latitude of your town. Then determine the greatest angle of elevation of the sun for your town on the first day of summer.A state trooper is hidden 30 foot from a highway. One second after a truck passes, the angle 0 between the highway and the line of observation from the patrol car to the truck is measured. See the illustration. Complete parts (a)-(c). (a) If the angle measures 16, how fast is the truck traveling? Express the answer in feet per second and in miles per hour. If the angle measures 16", the speed of the truck is 104.62 feet per second. (Do not round until the final answer. Then round to two decimal places as needed.) If the angle measures 16", the speed of the truck is 71.3 miles per hour. (Use the answer from part (a) to find this answer. Round to one decimal place as needed.) (b) If the angle measures 32", how fast is the truck traveling? Express the answer in feet per second and in miles per hour. If the angle measures 32", the speed of the truck is feet per second. (Do not round until the final answer. Then round to two decimal places as needed.) II