1a. The following diagram shows triangle ABC, with AB = 10 and AC = 12. diagram not to scale B 10 12 Given that cos  = find the value of sin Â. 1b. Find the area of triangle ABC. 2a. A metal sphere has a radius 14 cm. Find the volume of the sphere expressing your answer in the form a × 10*, 1 sa< 10 and kE Z. 2b. The sphere is to be melted down and remoulded into the shape of a cone with a height of 14.8 cm. Find the radius of the base of the cone, correct to 2 significant figures. За.. A ladder on a fire truck has its base at point B which is 4 metres above the ground. The ladder is extended and its other end rests on a vertical wall at point C, 16 metres above the ground. The horizontal distance between B and C is 12 metres.

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°.
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1a.
The following diagram shows triangle ABC, with AB = 10 and AC = 12.
diagram not to scale
B
10
A.
12
Given that cos Â
find the value of sin Â.
10
1b.
Find the area of triangle ABC.
2a.
A metal sphere has a radius 14 cm.
Find the volume of the sphere expressing your answer in the form a x 10*, 1 sa< 10 and
k Z.
2b.
The sphere is to be melted down and remoulded into the shape of a cone with a height of
14.8 cm.
Find the radius of the base of the cone, correct to 2 significant figures.
За.
A ladder on a fire truck has its base at point B which is 4 metres above the ground. The
ladder is extended and its other end rests on a vertical wall at point C, 16 metres above the
ground. The horizontal distance between B and C is 12 metres.
Transcribed Image Text:1a. The following diagram shows triangle ABC, with AB = 10 and AC = 12. diagram not to scale B 10 A. 12 Given that cos  find the value of sin Â. 10 1b. Find the area of triangle ABC. 2a. A metal sphere has a radius 14 cm. Find the volume of the sphere expressing your answer in the form a x 10*, 1 sa< 10 and k Z. 2b. The sphere is to be melted down and remoulded into the shape of a cone with a height of 14.8 cm. Find the radius of the base of the cone, correct to 2 significant figures. За. A ladder on a fire truck has its base at point B which is 4 metres above the ground. The ladder is extended and its other end rests on a vertical wall at point C, 16 metres above the ground. The horizontal distance between B and C is 12 metres.
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