At a horizontal distance of 45 m from a tree, the angle of elevation to the top of the tree is 26°. How tall is the tree? O 22m O 31m O 45m O 16m O 53m

The vector A has a magnitude of 4.0 meters and points in the -x direction. The vector B has a magnitude of 3.0 meters and points in the +y direction. Vector C is defined so that C - A + B = 0. What is the magnitude and direction of vector C? Give your answers to 2 significant figures.

Hiker Harry walks 4 km east then 7 km 25o north of west. What is the magnitude and direction of Harry’s position after his hike as measured from his starting point? Give the angle measured relative to east. For example 90° means directly north.

The magnitude of vector A is 40.0 units and points in the direction 335° counterclockwise from the positive x-axis. Calculate the x- and y-components of this vector. Ax= Ay=

The x and y coordinates of point P are (-8.50 m, -7.00 m). What is the magnitude of point P?

Suppose you walk 12.5 m in a direction exactly 19° south of west then you walk 20.5 m in a direction exactly 42° west of north.  How far are you from your starting point, in meters?  What is the angle of the compass direction of a line connecting your starting point to your final position measured North of West in degrees?

A pilot flies with a plane 20 km northward with an angle of 60 east ➚ , then 30 km to the east ⮕ , then 10 to the  north ⬆ , what is its distance from the start and what is its direction

If vector a= (-15,-3h,3k), vector B= (-2h, 14, -k) and vector c= (-1,-5,0) determine the values of h and k such that a_|_b and a_|_c.

A map suggests that Atlanta is 730 miles in a direction of 5.00° north of east from Dallas. The same map shows that Chicago is 560 miles in a direction of 21.0° west of north from Atlanta. Figure P 3.22 shows the locations of these three cities. Modeling the Earth as flat, use this information to find the displacement from Dallas to Chicago.

If vector A has a magnitude of 36.0 m in the x direction and vector B has a magnitude of 17.0 m in the y direction what is the magnitude of |A+B| and what angle does it make with the x axis?