SOLUTION: A billboard is 15 feet high. Attached to the top of the billboard are lengths of tubing, for support, at an angle of 60 degrees with the ground. How long is the tubing

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Question 1067313: A billboard is 15 feet high. Attached to the top of the billboard are lengths of tubing, for support, at an angle of 60 degrees with the ground. How long is the tubing
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+sin+%28+60+%29+=+sqrt%283%29+%2F+2+
Note that a 30-60-90 triangle is formed
Let +x+ = the length of the tubing
+sqrt%283%29+%2F+2+=+15+%2F+x+
Multiply both sides by +2x+
+sqrt%283%29%2Ax+=+30+
+x+=+30%2Fsqrt%283%29+
+x+=+%28+30%2Asqrt%283%29+%29+%2F+3+
+x+=+10%2Asqrt%283%29+
+x+=+17.32+
The tubing is 17.32 ft high
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check:
+sqrt%283%29+%2F+2+=+15+%2F+x+
+sqrt%283%29+%2F+2+=+15+%2F+%28+10%2Asqrt%283%29+%29+
Multiply both sides by +10%2Asqrt%283%29+
+%28+10%2A3%29%2F2+=+15+
+30%2F2+=+15+
+15+=+15+
OK