2 A yacht, P, left port and sailed 45 km on a bearing of 290°. Another yacht, Q, left the same port but sailed for 54 km on a bearing of 040°. a What was the angle between their directions? b How far apart were they at that stage (to two decimal places)? 3 The pyramid shown has a square base with sides of 100 m. The line down the middle of each side is 120 m long. a Find the total surface area of the pyramid. (As the pyramid rests on the ground, the area of its 120 m 100 m 100 m- base is not part of its surface area.) b If 1 kg of gold can be rolled flat to cover 0.5 m² of surface area, how much gold would be needed to cover the surface of the pyramid? c At today's prices, 1 kg of gold costs $62 500. How much would it cost to cover the pyramid with gold?

2 A yacht, P, left port and sailed 45 km on a bearing of 290°. Another yacht, Q, left the same port but sailed for 54 km on a bearing of 040°. a What was the angle between their directions? b How far apart were they at that stage (to two decimal places)? 3 The pyramid shown has a square base with sides of 100 m. The line down the middle of each side is 120 m long. a Find the total surface area of the pyramid. (As the pyramid rests on the ground, the area of its 120 m 100 m 100 m- base is not part of its surface area.) b If 1 kg of gold can be rolled flat to cover 0.5 m² of surface area, how much gold would be needed to cover the surface of the pyramid? c At today's prices, 1 kg of gold costs $62 500. How much would it cost to cover the pyramid with gold?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.4: Cicumference And Area Of A Cicle

Problem 15E: The central angle corresponding to a circular brake shoe measures 60. To two decimal places how long...

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