A person stands 10 m from a wall. The line of sight to the top of the wall makes an angle of 45° with the horizontal from the person's eye, which is 2 m above the ground. Find the total height of the wall in metres.
Physics · Mathematical tools and vector · Trigonometric Function
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Question

A person stands 10 m from a wall. The line of sight to the top of the wall makes an angle of 45° with the horizontal from the person's eye, which is 2 m above the ground. Find the total height of the wall in metres.

Physics · Mathematical tools and vector · Trigonometric Function

G1 Physics · Accepted Answer

Let wall height be H. Height above eye level is H−2. tan45°=(H−2)/10=1, so H−2=10 and H=12 m.