A botanist is measuring the height of a tree, using an instrument called a “clinoscope”. This
is just a small telescope with crosshairs, which can be mounted at a convenient height. The
angle made by the telescope with the horizontal can be measured. The botanist finds that
the angle of elevation from the top of the tree is 45 degrees, the instrument is mounted
at a height of 175 cm, and the distance to the base of the tree is 3 m. What is the height.
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