Question

given triangle JKL with JK = 10, m∠J = 20, which of the following choices is used to determine the length of KL?

Answer 1

tan J

Explanation:

From the given trinagle;

JK = Adjacent = 10

KL = Opposite

JL = Hypotenuse

m<J = 20degrees

Using the SOH CAH TOA identity

tan theta = opp/adj

tan m<J = KL/JK

tan 20 = KL/10

KL = 10tan20

Hence tan J can be used to determine KL