A hot air balloon rising straight up from a launcher is tracked by a range finder 1 km from the west of the launcher (we denote by 0 the range finder's elevation angle). A car is moving east from the launcher in such a way that the line of sight from the balloon to the range finder and to the line of sight from the balloon to the car intersect perpendicularly (i.e. in a right angle). 4n hot air bolloon Sinder range 1 Km S bm ↑ car launch pad (a) Describe the distance s between the launcher and the car in terms of 0. (b) When the distance between the range finder and the balloon is 2 km, the angle 0 is increasing at the rate of 0.25 rad/min. Find the speed of the car at this time.

Q: 9. Calculate the distance between each pair of points. Write your answers in both exact form and as…

A:

Q: Lines L₁ = ax+by+c= 0 and L₂ = lx+my+n=0 intersect at the poi each other. Find the equation of a…

A:

Q: and L Determine the angle that the line with equation = (4, -5), te R, makes with the x-axis and…

A: To determine the angle that the line with equation,r=t(4,−5),where t∈R makes with the x-axis and…

Q: Plot the following points on the coordinate plane. You can use different colors of…

A: The given points are: M=(0, -3)B=(0, 4)S=(2, 0)Q=(-2, 5)

Q: Find the angle between the following straight line y=4-2x,y=3x+7

A: To find the angle

Q: You should be able to answer this question after studying Unit 5. A mountain rescue team is…

A:

Q: Suppose you wnat to install a vertical TV tower on the side of a hill which makes a 25 degree angle…

A: Given that,

Q: You are stuck in place P and there is a landmark (L) in your sight that is at an angle of 23◦ to a…

A: To solve the problem, let's establish the coordinate system and the positions of the points…

Q: If we were to draw a line with a positive slope m, and assign the acute angle between the line and…

A: Slope = m (a positive value)The slope of the drawn line,The tan of the acute angle,From equations…

Q: 2. SuperNasr leaps to the top of a tall building (275 ft.) and, with his x-ray vision, sees poor…

A:

Q: Match the plotted point to its ordered pair: 3 6 -5-4 -3 -2 -10 1 2 3 4 -2 -3 -5 -6 O (-5,6| O…

A: Please see the answer below.

Q: 3. A curve passes thru (4,) and (10,). If y" = detemine the equation of the curve and indicate what…

A:

Q: Find the equation of a line making an angle of 5° with the y-axis and passing through the point (1,…

A: We have, a line making an angle of 5° with the y-axis and passing through the point (1, 1).

Q: Find the d.c's of a line that make equal angles with the axes

A: