| Solving Right Triangles and Bearings | Vectors | Law of Sines and Cosines | Area of a Triangle | Simple and Damped Harmonic Motion |
|---|---|---|---|---|
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What is a hypotenuse?
The name for the longest side of a triangle.
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What is magnitude and direction?
The two characteristics of a vector are...
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What is 2 possible answers?
How many answers are possible for each side or angle when solving a triangle using SSA?
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What is the Oblique formula for a triangle?
A = 1/2absin(c)
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What is a spring, a pendulum, and a tuning fork?
Three examples of simple harmonic motion.
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What is N65°W?
A boat travels at 65 degrees West of North. What is this direction in terms of a bearing?
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What is the magnitude of vector V?
What does II v II represent?
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What is ASA, AAS, SSA? What is SAS, SSS?
What cases can the law of sines apply to? What cases can the law of cosines apply to?
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What is Heron's formula for a triangle, given SSS? What is the formula for the semi perimeter?
A = √(s(s-a)(s-b)(s-c), s = 1/2 (a +b + c)
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What is d = acos(wt) or d = asin(wt)?
The equation for the distance d from the origin as a function of time t for an object in simple harmonic motion.
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What is 29.17cm?
A right triangle has a hypotenuse of 30 cm, and one leg of 7cm. What is the length of the second leg?
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What is ac + bd?
What is the equation for the dot product of v - w when v = ai + bj and w = ci + dj?
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What is (sina)/A = (sinb)/B = (sinc)/C? What is C^2 = A^2 + B^2 - 2ABcos(c)
What is the law of sines equation for this triangle? What is the law of cosines for the same triangle?
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What is A = 381.65 in^2?
The area of a triangle with sides 23in, 34in, and 45 in to the nearest thousandth of an inch.
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What is the equation on the board?
The equation for the displacement d of an object in damped harmonic motion as a function of time t, where b is a damping factor and m is the mass of the object.
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What is 74.89 ft?
Suppose that when the sun is at an angle of elevation in the sky of 63.4°, a building casts a shadow of 37.5 ft. How tall is the building?
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v = 8(cos45i + sin45j) = 4rad2i + 4rad2j
What is the vector when II v II = 8 and a = 45° in terms of ai + bj?
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What is a = 27°, A = 8.9 ft, C = 13.116 ft?
Find the missing sides and angles given a triangle with b = 111°, c = 42°, and B = 18.3ft.
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What is A = 586.024in^2?
The area of a triangle with a = 50°, B = 34in, and C = 45in.
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What is 1.74m? What is simple harmonic motion?
What is the distance from the origin of an object after 2 seconds, when it's motion satisfies the equation d = 10sin(5t)? What type of motion is this?
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What is 431.6m?
The bearing from A to C is S 52°E. The bearing from A to B is N 84°E. The bearing from B to C is S 38°W. A plane flying at 250 mph takes 2.4 hours to go from A to B. Find the distance from A to C.
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What is (bf - ce)i - (af - cd)j + (ae - bd)k ?
What is the cross product of vectors v x u, when v = ai + bj + ck, and u = di + ej + fk?
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What is 28.55°?
Given a triangle with sides 41.84 ft, 32.5 ft, and 62.37 ft, find the measure of the smallest angle.
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What is 24.94m^2?
Find the area of triangle ABC if A = 10m, a = 85°, b = 60°.
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What is the equation on the board?
Write the equation for the displacement d as a function of time for an object of mass 500g, a period without the damping effect of 5 s, and a damping factor of 1.2 g/s, and that is initially pulled back 40 cm from the origin.
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