A pole tilts toward the sun at an 8 angle from the vertical, and it casts a 22-foot shadow. The angle of elevation from the tip of the shadow to the top of the pole is 43. How tall is the pole?

Question

A pole tilts toward the sun at an 8 degree angle from the vertical, and it casts a 22-foot shadow. The angle of elevation from the tip of the shadow to the top of the pole is 43 degrees. How tall is the pole?

Answer 1

Forms an obtuse triangle with angles of (8+90)°, 43° and 180-98-43=39°

Let x be the length of the pole.

x/sin(43°) = 22/sin(39°)

x = 22sin(43°)/sin(39°)

I'll let you do the calculation.