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6.5.1 You are lying on the ground looking up at the top of a tower. Your ne of s

ID: 2911835 • Letter: 6

Question

6.5.1 You are lying on the ground looking up at the top of a tower. Your ne of sight makes an angle of 20° with the ground. The top of the tower is 1000 feet away. How tall is the tower? 6.5.2 You photograph a building that is 100 feet tall. The camera can only be propped up 20 feet high. The camera sensor is parallel to the building, this is to say that the camera is not tilted up or down. The lens on the camera has a 60° field of view, so it can see 30° above and below the axis of symmetry of the lens. How far away must you stand to photograph the entire building? 6.5.3 A bullet is fired up at an angle of 30° with respect to the ground at a speed of 1,000 feet per second. When it lands, its speed is 520 feet per second and it is falling at a rate of 400 feet per second. What is the new angle that the bullet makes with the ground and what is its velocity vector on impact with the ground? 6.5.4You look up to the top of a tower. Your line of sight makes an angle of 24 degrees with the ground tower. Your line of sight is now makes an angle of 35 degrees with respect to the ground What is the height of the tower? . You walk 100 feet to the building and look up again to the top of the

Explanation / Answer

6.5.1.

sin theta= height/ hypotenuse

Let height be h and hypotenuse=1000ft

sin 20=h/1000

h=1000sin 20=342ft