|
Tutors Answer Your Questions about Trigonometry-basics (FREE)
Question 20855: Please let me know if I'm on the right track with this.
A plane is observed approaching your home and you assume the its speed is 550 km/hr. The angle of elevation of the plane is 16 degrees at one time and 57 degrees one minute later. Approximate the altitude of the plane.
Let r be the approximate altitude of the plane.
41 degrees = 9.17 km
360 degrees = 80.52 km
80.52=2pier
r=80.52/2pie
r=12.82 km
Thank you!
Click here to see answer by venugopalramana(3286)   |
Question 20853: Please let me know if I'm on the right track with this.
A plane is observed approaching your home and you assume the its speed is 550 km/hr. The angle of elevation of the plane is 16 degrees at one time and 57 degrees one minute later. Approximate the altitude of the plane.
Let r be the approximate altitude of the plane.
41 degrees = 9.17 km
360 degrees = 80.52 km
80.52=2pier
r=80.52/2pie
r=12.82 km
Thank you!
Click here to see answer by venugopalramana(3286) |
Question 21024: A railroad curve is laid out on a circle. What radius would be used if the track is to change direction by 20 degrees in a distance of 100 km?
I've been trying to use formula r=s/theta but I can't find the solution for theta.
Please help! Thanks.
Click here to see answer by kapilsinghi(68)  |
Question 18528: Two towers face each other separated by a distance d = 30 m. As seen from the top of the first tower, the angles of depression of the second tower's base and top are 60 degrees and 30 degrees, respectivley. What is the height of the second tower?
Click here to see answer by kapilsinghi(68) |
Question 18165: An advertisement for a pineapple drink claims that the drinkcontains 15% pineapple juice. How much pure pineapple juice would have to be added to 8 quarts of the drink to obtain a mixture containing 50% pineapple juice?
Click here to see answer by kapilsinghi(68) |
Question 18163: Susan wants to mix 10lbs of virginia peanuts that cost $3.50 a pound with spanish peanuts that cost $3.00 a pound to obtain a mixture that cost $3.40 a pound. How many pounds of spanish peanuts should she use?
Click here to see answer by kapilsinghi(68) |
Question 16071: An electric hoist is used to lift a piece of equipment. The diameter of the drum on the hoist is 10 inches, and the equipment must be raised 1 foot. Find the number of degrees through which the drum must rotate.
Click here to see answer by kapilsinghi(68) |
Question 11816: Can you go step by step on this problem Im having trouble formulating the necessary formulas.
The Petersons drove to a friends house at 80km/h. On the return trip, rain reduced their speed by 10km/h. If their total driving time was 3h, find the total distance driven.
Thanks
Click here to see answer by kapilsinghi(68) |
Question 18160: A train leaves a city heading west and travels at 50 miles per hour. Three hours later, a second train leaves fromt he same place and travels in the same directions at 65 miles per hour. how long will it take for the second train to overtake the first train?
Click here to see answer by kapilsinghi(68) |
Question 21632: prove the following equation is an identity. show your work
sin5x+sin3x=4sin2xcos2xcosx
first i did the regular formula sinA+sinB=2sin(a+b/2)cos(a-b/2) so it came out like this : 2sin4xcosx and now i'm stuck and i dont know where to go from that can anyone help? thanks
-kt
Click here to see answer by venugopalramana(3286) |
Question 21631: prove the following equation is an identity. show your work
sin5x+sin3x=4sin2xcos2xcosx
first i did the regular formula sinA+sinB=2sin(a+b/2)cos(a-b/2) so it came out like this : 2sin4xcosx and now i'm stuck and i dont know where to go from that can anyone help? thanks
-kt
Click here to see answer by venugopalramana(3286) |
Question 21628: prove the following equation is an identity. show your work
sin5x+sin3x=4sin2xcos2xcosx
first i did the regular formula sinA+sinB=2sin(a+b/2)cos(a-b/2) so it came out like this : 2sin4xcosx and now i'm stuck and i dont know where to go from that can anyone help? thanks
-kt
Click here to see answer by venugopalramana(3286) |
Question 22230: The displacement of a body is given by s =4sin(t+30), and a force acting upon the body is given by F=7sin(t-60). If the energy of the motion, E, at at time t is the product Fs, show that E=-14cos(2t-30)
Click here to see answer by khwang(438) |
Question 22309: You get a box of assorted chocolates for Christmas. There are the following
types; 8 dark chocolate-coated caramels, 7 milks chocolate-coated caramels,7
dark chocolate-coated nuts, 6 milk chocolate-coated vanilla creams, 8 dark
chocolate-coated cherries, 7 milk chocolate-coated strawberry creams. Determine
the following probabilitie;
of getting 2 dark chocolate-coated cherries in a row and then 5
caramels in a row.''.
Click here to see answer by stanbon(26273) |
Question 22617: Help please
If i=Icos50πt and v=Vcos(50πt+π/6) Determine and expression for power in the circuit p=iv, as the sum of two cosines. Also If I=3mA and V=5v, calculate the max value of p, giving your answer in watts correct to three significant places, and the first positive value of t at which it occurs
Click here to see answer by NaiXLG(18) |
Question 21601: prove the following equation is an identity. show your work
sin5x+sin3x=4sin2xcos2xcosx
first i did the regular formula sinA+sinB=2sin(a+b/2)cos(a-b/2) so it came out like this : 2sin4xcosx and now i'm stuck and i dont know where to go from that can anyone help? thanks
-kt
Click here to see answer by venugopalramana(3286) |
Question 22313: From the top of a 250-foot lighthouse, a plane is sighted overhead and a ship is observed directly below the plane. The angle of elevation of the plane is 22degrees and the angle of depression of the ship is 35degrees.
Find; A)the distance of the ship from the lighthouse
B)the plane's height above the water. Round to the nearest foot.
Click here to see answer by stanbon(26273) |
Question 22304: Two cars with new tires are driven at an average speed of 60 mph for a test drive of 2000 miles. the diameter of the wheels of one car is 15 inches. the deameter of the wheels of the other car is 16 in. If the tires are equally durable and differ only by deamer, which car will probably need new tires first? why?
Click here to see answer by stanbon(26273) |
Question 22126: A ball that is hit or thrown horizontally with a velocity of v feet per second willtravel a distance of d feet before hitting the ground, where d=v*(h/4.9) and h is the height in feet from which the ball is hit or thrown. Use the properties of radicals to rewrite the formula.
How far will a ball that is hit horizontally with a velocity of 45 feet per second at a height of 0.8 feet above the ground travel before hitting the ground.
An automotive engineer is trying to design a safer car. The maximum force a road can exert on the tires of the car being redesigned is 2000 pounds. What is the maximum velocityv in feet per second at which this car can safely round a turn of radius 320 feet? Use the formula v+(F*r/100), where F is the force the road exerts on the car r is the radius of the turn.
Click here to see answer by stanbon(26273) |
Question 23293: Point P is the intersection of the terminal arm of angle Q in standard position and the unit circle with centre (0,0). If P is in quadrant 3 and cosQ = m, determine the coordinates of P in terms of m.
A. (-m, sqrt(1-m^2))
A. (-m, -sqrt(1-m^2))
A. (m, sqrt(1-m^2))
A. (m, -sqrt(1-m^2))
Click here to see answer by stanbon(26273) |
|
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
|
| |
