In a right triangle the leg opposite to the acute angle of 30° is 7 in. Find the hypotenuse and other leg.
2 answers:
Answer:
Hypotenuse = 14in
Adjacent = 12.12in
Step-by-step explanation:
Check attachment for diagram
Using SOH, CAH TOA method
According to SOH
Sin(theta) = Opposite/Hypotenuse
Given theta = 30°
Opposite = 7in
Sin30° = 7/Hypotenuse
Hypotenuse = 7/sin30°
Hypotenuse = 7/0.5
Hypotenuse = 14in
The other leg will be the adjacent say x
Using Pythagoras theorem to get x
Hyp² = Opp²+Adj²
14² = 7²+x²
x² = 14²-7²
x² = 196-49
x² = 147
x = √147
x = 12.12in
The value of the other leg is 12.12
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