The mast

We see the top of the pole at an angle of 45°. If we approach the pole by 10 m, we see the top of the pole at an angle of 60°. What is the height of the pole?

Correct answer:

h =  23.6603 m

Step-by-step explanation:

tan60° = h/x tan45° = h/(x+10)  x = h / tan60° = h   t1 t1=1/tan60°=tanπ/3=0.57735 t2=tan45°=tanπ/4=1  t2 (h t1+10) = h t2 h t1+10 t2 = h  h=1t2 t110 t2=11 0.577410 1=23.6603 m

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