The mast

The top of the pole we see 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:

tan(60)=h/x tan(45)=h/(x+10)  x=h/tan(60)=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=10 t21t2 t1=10 111 0.5774=23.6603 m

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