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MAT188_Spring Final 2024-2025

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Last updated about 2 hours ago
28 questions
TOPIC I: Circular Function
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TOPIC 2: Trigonometric Function I
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TOPIC III: Trigonometric Function II
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TOPIC IV: Introduction to VECTOR
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Question 1
1.

A fireman spots a stranded woman in the window of a 200-foot tall office building. From the point where the fireman is standing, the angle of elevation to the stranded woman is 42° 33’ and to the top of the building is 58 ° 6’. How far from the ground is the stranded woman?

Question 2
2.

Convert in D-M-S form.

Question 3
3.

Convert to decimal degree form.

Question 4
4.

The area of a sector of a circle with central angle of 240 degrees is 134 sq ft. Find the radius of circle.

Question 5
5.

A 16-inch diameter tire on a car is making 500 revolutions per minute. Find the linear speed of the tire in miles per hour.

Question 6
6.
If N(-7, -1) is a point on the terminal side of θ in standard form, find the exact values of the trigonometric functions of θ.
Sinθ = _______ Cscθ = _______
Cosθ =_______ Secθ = _______
tanθ = _______ Cotθ= _______
Question 7
7.

Give the exact value of each trigonometric function.

Question 8
8.

Give the exact value of each trigonometric function.

Question 9
9.
Solve the triangle below. Round all answers to the nearest tenth.
_______
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QS = _______



Question 10
10.

In ΔABC, m∠C = 73°, AB = 20 km, and AC = 29 km. Find m∠B.

Question 11
11.

Philadelphia, Pennsylvania is 415 miles directly east of Columbus, Ohio. The bearing from Columbus to Richmond, Virginia is S 60° E. The bearing from Philadelphia to Richmond is S 34° W. Find the distance from Columbus to Richmond to the nearest mile.

Question 12
12.

A triangular parking lot has sides measuring 90 meters, 54 meters, and 128 meters. Use Heron’s Formula to find the area of the parking lot.

Question 13
13.

Identify the amplitude, period, translations, and midline of the function.

Draggable itemarrow_right_altCorresponding Item
period
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Question 14
14.

Give the exact value, if it exists.

Question 15
15.

Identify

Question 16
16.

Simplify

Question 17
17.
Use the Pythagorean Theorem Identities.
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Question 18
18.
Use the Reciprocal and Quotient Identities:

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Question 19
19.
Use the Double-Angle Identities to find the exact value.


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Question 20
20.
Rewrite as a product:


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Question 21
21.

Question 22
22.
Use the Sum and Difference of Angles Identities to find the exact value.

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Question 23
23.
For vector,

give its
(a) component form, _______
(b) magnitude, _______
(c) direction angle. _______
Question 24
24.

Which of the following is a scalar quantity?

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Question 28
28.

Which of the following represents a vector quantity?

Amplitude
Phase Shift
Midline
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Vertical Shift
y=1
Displacement in a straight line.
Force applied to an object.
Question 25
25.

Use the graph below to classify each pair of vectors.

Question 26
26.

Use the graph below to classify each pair of vectors.

Question 27
27.

Use the graph below to classify each pair of vectors.