A broom rests against a wall. The broom makes an angle of 57°42' with the floor and reaches a point 90 cm up the wall. Find the length of the broom. 15a
A broom rests against a wall. The broom makes an angle of 57°42' with the floor and reaches a point 90 cm up the wall. Find the length of the broom. 15a
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 41E: A windshield wiper rotates through a 1200 angle as it cleans a windshield. From the point of...
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Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
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A broom rests against a wall. The broom makes an angle of 57°42' with the floor and
reaches a point 90 cm up the wall. Find the length of the broom.
15a
A mop rests against a wall. The mop makes an angle of 43°29' with the floor, and the
mop head is 60 cm from the base of the wall. Find the length of the mop.
16
Solve each of the following, for x e [0,27]|
2 cos (x)–3cos(x)+1=0
a
b
3 tan (x)-1=0
17
The temperature T degrees Celsius on a particular day can be modelled by the
t
function T(t)= 23– 5 sin
where t is the time in hours after 12:00 am (mid-night)
12
i.
Find the temperature at 9:00 am
ii.
Find the maximum and minimum temperatures.
iii.
Find the first two times when the temperature is 20.5 degrees Celsius.
iv.
State the amplitude, period and range of the function.
v.
Sketch the graph of the temperature T versus t, showing one complete cycle.
An examiner knows from past experience, that students who consistently do all their
homework have a probability of 0.9 of passing the subject. While students who do not do
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Transcribed Image Text:Q Search
thods Revision Questions.pat
R of 2
DACICII UIIE grapii UI Illass VUISUS timc.
A broom rests against a wall. The broom makes an angle of 57°42' with the floor and
reaches a point 90 cm up the wall. Find the length of the broom.
15a
A mop rests against a wall. The mop makes an angle of 43°29' with the floor, and the
mop head is 60 cm from the base of the wall. Find the length of the mop.
16
Solve each of the following, for x e [0,27]|
2 cos (x)–3cos(x)+1=0
a
b
3 tan (x)-1=0
17
The temperature T degrees Celsius on a particular day can be modelled by the
t
function T(t)= 23– 5 sin
where t is the time in hours after 12:00 am (mid-night)
12
i.
Find the temperature at 9:00 am
ii.
Find the maximum and minimum temperatures.
iii.
Find the first two times when the temperature is 20.5 degrees Celsius.
iv.
State the amplitude, period and range of the function.
v.
Sketch the graph of the temperature T versus t, showing one complete cycle.
An examiner knows from past experience, that students who consistently do all their
homework have a probability of 0.9 of passing the subject. While students who do not do
18.
27
ty
MacBook Air
80
DII
F3
F4
F5
F6
F7
F8
F9
F10
F11
#
$
%
&
(
3
4
5
6
7
8
9
E
R
Y
U
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