Tutors Answer Your Questions about Trigonometry-basics (FREE)
Question 629216: For the past three years, the manager of The Toggery Shop has observed that revenue reaches a high of about $40,000 in December and a low of about $10,000 in June, and that a graph of the revenue looks like a sinusoid. If the months are numbered 1 through 36 with 1 corresponding to January, then what are the period, amplitude, and phase shift for this sinusoid? What is the vertical translation? Write a formula for the curve and find the approximate revenue for April.
Click here to see answer by jsmallt9(3296)  |
Question 628645: Bob is driving along a straight and level road straight toward a mountain. At some point on his trip he measures the angle of elevation to the top of the mountain and finds it to be 25°11'. He then drives 1 mile (5280 ft) more and measures the angle of elevation to be 32°51'. Find the height of the mountain to the nearest foot.
Click here to see answer by lwsshak3(6522) |
Question 630723: Suppose that you are on a salvage ship in the Gulf of Mexico. Your sonar system has located a sunken Spanish galleon at a slant distance of 68.3 meters from your ship, with an angle of depression of 27°52′.
a) How deep is the water at the galleon’s location?
b) How far must you sail to be directly above the galleon?
c) You sail directly toward the spot over the galleon. When you have gone 520 meters, what should the angle of depression be?
i'm stuck with c. i got b, x=603.8m, then in c it says 520m, which is smaller than 604.8cm? how is it possible? or i have wrong interpretation?
pls. help!!
Click here to see answer by rmnavalta(7)  |
Question 630723: Suppose that you are on a salvage ship in the Gulf of Mexico. Your sonar system has located a sunken Spanish galleon at a slant distance of 68.3 meters from your ship, with an angle of depression of 27°52′.
a) How deep is the water at the galleon’s location?
b) How far must you sail to be directly above the galleon?
c) You sail directly toward the spot over the galleon. When you have gone 520 meters, what should the angle of depression be?
i'm stuck with c. i got b, x=603.8m, then in c it says 520m, which is smaller than 604.8cm? how is it possible? or i have wrong interpretation?
pls. help!!
Click here to see answer by jsmallt9(3296) |
Question 630910: the voltage of E of an alternating current electrical circuit can be represented by the sinusoidal function E=220cos(pi t) where E is measured in volts and t is measured in seconds. how long does it take the alternating current to complete one cycle?
(1)1 second
(2)2 second
(3)pi seconds
(4)220 seconds
Click here to see answer by Alan3354(30993)  |
Question 630900: liam's grandfather's clock has a pendulum that moves from its central position at rest according to the trigonometris function P(t)-3.5sin(pi/2 t) where t represents the time in seconds does it take the pendulum to complete one full cycle from rest at the center to the left and then to the right and back to the rest??
(1)1 second
(2)2 second
(3)3.5 second
(4)4 seconds
Click here to see answer by Alan3354(30993) |
Question 630898: A circle has a radius of 1.5ft . A sector of the circle has a central angle of 7pi/6 radians. Find the area of the sector.
Do not round any intermediate computations. Round your answer to the nearest tenth.
Click here to see answer by lwsshak3(6522) |
Question 631106: Stephanie has observed that the number of squrrels she sees varies sinusoidally over the couse of a year. She found out that the equation S(t)= -30cos(pi/6)+50
provided a good model for the number of squirrels, S(t), Stephanie sees per month, where t (an integer) represents the number of months since December 1.
a) When did Stephanie see the most squirrels?
b) How many squirrels did she see then?
c) What is the number of squirrels that Stephanie saw on March 1? On May 1?
(Please show how you got the answer)
Click here to see answer by jsmallt9(3296) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585
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