these are problems that I have missed on my chapter test and I just want to learn how to do them so that when they come up on my final exam i will know how to do them thank you so much for all your help !!
1) A boat is sailing due east parallel to the shoreline at a speed of 10 miles per hour. At a given time the bearing to the lighthouse is S 70 degrees E. and 15 minutes later the bearing is S 63 degrees E find the distance from the boat to the shoreline if the lighthouse is at the shoreline.
2) To determine the distance between two aircrafts a tracking staion continuously determines the distance to esach aircraft and the angle A between them. determine the distance a between the planes when A= 42 degrees b=35 miles and c=20 miles
3) use herons area formula to find the area of the triangle
a= 2.5 b= 10.2 c= 9
4) find the cector v with the given magnitude and the same direction as u
llvll = 3 ( magnitude) u= <4,-4> (direction)
5)use the law of cosines to find the angle between the given vectors
v=3i + j w= 2i - j
6) u = airspeed = 580
*we use 150 because it is heading North 90degree angle then west 60degrees = 150
v = windspeed = 60
*we use 45 because of SW means a 45degree angle
w = u + v
find w which is the ground speed
find the angle by doing tan (angle) = b/a {use inverse function}
7) represent the complex number graphically and find the trigonometric for of the number
-2 - 2i
8) use demoivres therem to find the indicated power of the complex number. Express the results in standard form
(2+2i)^6
9) fourth root of 625i
10) find the nth partial sum of the arimetric sequence
1.50,1.45,1.40,1.35,..... n=20
11) find the nth term in the geometric sequence
a^2 = 3 a^5= 3/64 n=1
I know its a lot but if you can answer any it would be a lot of help thank you again !!
1) A boat is sailing due east parallel to the shoreline at a speed of 10 miles per hour. At a given time the bearing to the lighthouse is S 70 degrees E. and 15 minutes later the bearing is S 63 degrees E find the distance from the boat to the shoreline if the lighthouse is at the shoreline.
2) To determine the distance between two aircrafts a tracking staion continuously determines the distance to esach aircraft and the angle A between them. determine the distance a between the planes when A= 42 degrees b=35 miles and c=20 miles
3) use herons area formula to find the area of the triangle
a= 2.5 b= 10.2 c= 9
4) find the cector v with the given magnitude and the same direction as u
llvll = 3 ( magnitude) u= <4,-4> (direction)
5)use the law of cosines to find the angle between the given vectors
v=3i + j w= 2i - j
6) u = airspeed = 580
*we use 150 because it is heading North 90degree angle then west 60degrees = 150
v = windspeed = 60
*we use 45 because of SW means a 45degree angle
w = u + v
find w which is the ground speed
find the angle by doing tan (angle) = b/a {use inverse function}
7) represent the complex number graphically and find the trigonometric for of the number
-2 - 2i
8) use demoivres therem to find the indicated power of the complex number. Express the results in standard form
(2+2i)^6
9) fourth root of 625i
10) find the nth partial sum of the arimetric sequence
1.50,1.45,1.40,1.35,..... n=20
11) find the nth term in the geometric sequence
a^2 = 3 a^5= 3/64 n=1
I know its a lot but if you can answer any it would be a lot of help thank you again !!