Functions (trigonometric)

Functions (trigonometric)

9th - 12th Grade

20 Qs

quiz-placeholder

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Functions (trigonometric)

Functions (trigonometric)

Assessment

Quiz

Mathematics

9th - 12th Grade

Hard

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Say 'TRUE' or 'FALSE'
If both the height of the pole and the distance of the point of observation from the foot are increased by the same length, the angle of elevation of its top remains unchanged

TRUE
FALSE

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The equation represents the height of a passenger on a Ferris wheel (in feet) as a function of time (in seconds)

 h=58+33sin(6t)h=58+33\sin\left(6t\right)  
How many seconds does it take the wheel to rotate 315 degrees?

180 seconds

7.5 seconds

52.5 seconds

0.019 seconds

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The angle of elevation of the top of a cell tower from a point 225 feet away from the base of the tower on flat ground is 37 degrees. What is the height of the cell tower?

The height of the cell tower is 169.55 feet.

The height of the cell tower is 291.81 feet.

The height of the cell tower is 173.99 feet.

The height of the cell tower is 225.21 feet.

Answer explanation

Tan(37 degrees) = h/225

225(Tan(37 degrees)) = h

H = 169.55

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The maximum daily temperature is 34°c34\degree c   and the minimum temperature is 27°c27\degree c  in June, calculate the amplitude.

3.5

30.5

4.5

30

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The temperature is degrees fahrenheit at a given location goes though a similar cycle each day. The low of 30 degrees occurs at 6:00 am. The high is 70 degrees at 6pm. What equation models the temp as a function of time hours since noon (12pm).

f(t)= 20sin(π12x)+50f\left(t\right)=\ 20\sin\left(\frac{\pi}{12}x\right)+50

f(t)=20(π6x)+50f\left(t\right)=20\left(\frac{\pi}{6}x\right)+50

f(t)= 20sin(π12x)+50f\left(t\right)=\ -20\sin\left(\frac{\pi}{12}x\right)+50

f(t)=20sin(π6x)+50f\left(t\right)=-20\sin\left(\frac{\pi}{6}x\right)+50

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Jordan is stuck at the top of a Ferris wheel. Her mother is standing 38 feet from the base of the wheel watching her. If the angle of elevation from Jordan's mom to Jordan is 73o, how far off the ground is Jordan?

118.2 ft

120.9 ft

124.3 ft

126.5 ft

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

In St. Louis, MO, the longest day is July 1, with 14:45 of daylight. The shortest day is January 1st, with 9:45 of daylight. If construct a graph of daylight over the course of the year, from April 1 to March 31, the equation of the graph would be

y= 300sin(pi/6 x) + 735

y= 300cos(pi/6 x) + 735

y= 150sin(pi/6 x) + 735

y= -150cos(pi/6 x) + 735

y= -300cos(pi/6 x) + 735

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