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Pad 0:18 PM * 28%. Assiguiment Scoring Your last submission is used for your sco

ID: 2038495 • Letter: P

Question

Pad 0:18 PM * 28%. Assiguiment Scoring Your last submission is used for your score 1. 0/1 points 1 Previous Answers CJ9 25.P003 My Notes Ask Your Teacher You are trying to photograph a bird sitting on a tree branch, but a tall hedge is blocking your view. However, as the drawing shows, a plane mirror reflects light from the bird into your camera. If x = 4.4 m and y = 4.2 m in the drawing. For what distance must you set the focus of the camera lens in order to snap a sharp picture of the bird's image? 5.24 2.1 m Additional Materials Section 25.3

Explanation / Answer

With a mirror, the angle of reflection is equal to the angle of repose. This means that as you look at the bird in the mirror, it appears to be straight in front of you. It also means that you imagine the bird to be 2.1M along the X-axis on the other side of the mirror. That gives you an X value of 4.4M and 2.1M, or 6.5M. Form there, it's regular trig.

X, Y = 6.5M, 4.2M
Tan ? = Opposite / Adjacent
Tan ? = 4.2M / 6.5M
Tan ? = 0.64615
? = 32.868° (the angle the camera is pointed)
Cos ? = Adjacent / Hypotenuse
Hypotenuse = Adjacent / Cos ?
Hypotenuse = 6.5M / 0.8399
Hypotenuse = 7.7388M (Sight distance from camera to bird)