Measuring the height of a mountain can be very difficult as you cannot measure your horizontal distance to the point right below the top of the mountain. So you take two measurements, make a system of equations and solve the system. Here's your scenario. You are looking at a mountain and sight the top with an angle of elevation of 55 degrees. Then you walk 500 feet towards the mountain and take another measurement. This time, the angle of elevation is 65 degrees. Find the height of the mountain assuming that you are 5 feet tall.

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