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?
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
Complete solution.
Answers should be
2.
A.110 degrees
B. 81.26 km
3
A. 24 000m^2
B. 48 000 kf
C. 3000 000 000
Transcribed Image Text: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?
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