QUESTION 2 The diagram below shows a spotlight at point B, mounted 12 metres directly above a point C at the front edge of a field. The spotlight swings 44,3° from the vertical to illuminate another point D, the midpoint of AC.

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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QUESTION 2
The diagram below shows a spotlight at point B, mounted 12 metres
directly above a point C at the front edge of a field.
The spotlight swings 44,3° from the vertical to illuminate another point D,
the midpoint of AC.
12m
Calculate the length DC.
Calculate through how many more degrees the spotlight must swing in
order to illuminate point A ( ie, calculate the value of the angle 0).
(3)
(3)
2.1.1
2.1.2
[6]
QUESTION 3
Given: f(x) =-3 and g(x) = x + c
Write down the equations of the asymptotes of f(x).
3.1
(2)
3.2
Calculate the x- intercept of f (x).
(2)
Calculate the value of c if g(x) is the line of symmetry of f (x) hence
determine g(x).
3.3
(3)
3.4
Write down the domain and range of f (x)
(2)
Write down the equation of h(x) if h(x) is a reflection of f (x) abnnt tha
axis.
3.5
(1)
(10]
Transcribed Image Text:QUESTION 2 The diagram below shows a spotlight at point B, mounted 12 metres directly above a point C at the front edge of a field. The spotlight swings 44,3° from the vertical to illuminate another point D, the midpoint of AC. 12m Calculate the length DC. Calculate through how many more degrees the spotlight must swing in order to illuminate point A ( ie, calculate the value of the angle 0). (3) (3) 2.1.1 2.1.2 [6] QUESTION 3 Given: f(x) =-3 and g(x) = x + c Write down the equations of the asymptotes of f(x). 3.1 (2) 3.2 Calculate the x- intercept of f (x). (2) Calculate the value of c if g(x) is the line of symmetry of f (x) hence determine g(x). 3.3 (3) 3.4 Write down the domain and range of f (x) (2) Write down the equation of h(x) if h(x) is a reflection of f (x) abnnt tha axis. 3.5 (1) (10]
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