SOLUTION: A newly-wed couple wants to purchase a piece of pand which is triangular in shape. If the two sides of the lot measures 25m and 30 m and their included angle is 60 degrees, what is

Algebra ->  Volume -> SOLUTION: A newly-wed couple wants to purchase a piece of pand which is triangular in shape. If the two sides of the lot measures 25m and 30 m and their included angle is 60 degrees, what is      Log On


   

Question 1136018: A newly-wed couple wants to purchase a piece of pand which is triangular in shape. If the two sides of the lot measures 25m and 30 m and their included angle is 60 degrees, what is its area? If the lot costs Php 2,000 per square meter, how much would it cost the couple to buy the lot?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+A+=+%281%2F2%29%2Ab%2Ah+
I will say that +b+=+25+
The height, +h+ is the perpendicular line
from the end of the +30+ m leg to the
+b+=+25+ leg
-----------------------
+sin%28+60+%29+=+sqrt%283%29+%2F+2+ ( no units, just numbers )
+sin%28+60+%29+=+h%2F30+ ( units are m/m )
+h%2F30+=+sqrt%283%29%2F2+
+h+=+15%2Asqrt%283%29+
-----------------------
+A+=+%281%2F2%29%2Ab%2Ah+
+A+=+%281%2F2%29%2A25%2A15%2Asqrt%283%29+
+A+=+324.76+ m2
and
+2000%2A324.76+=+649519.05+ php