in a forest a big tree got broken due to heavy rain and wind . due to this rain the big branches AB and AC with length of 5cm fell down on the ground. Branches AC makes an angle of 30° with the main tree AP. The distance of the point B from P is 4cm. you can observe that ∆ABP is congruent to ∆ACP:
THEN ANSWER THE FOLLOWING
what is the value of angle APC
what is the length of AP
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Let A'CB represents the tree before it broken at the point C and let the top A' touches the ground at A after it broke. Then ΔABC is a right angled triangle, right angled at B.
AB=12m and BC=5m
Using Pythagoras theorem, In ΔABC
(AC)
2
+(AB)
2
+(BC)
2
⇒(AC)
2
=(12)
2
+(5)
2
⇒(AC)
2
=144+25
⇒(AC)
2
=169
⇒AC=13m
Hence, the total height of the tree=AC+CB=13+5=18m.
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