Given △QRS ~ △XYZ, what is the value of tan(Q)?

Students were enquired to answer a question at institution and to tell what is most important for them to succeed. The one that response stood out from the rest was practice. People who surely are successful do not become successful by being born. They work hard and commitment their lives to succeeding. This is how you can achieve your goals. following some question and answer examples that you could potentially implement to enhance your knowledge and gain insight that will assist you to sustain your school studies.

Question:

Given △QRS ~ △XYZ, what is the value of tan(Q)?

Answer:

The value of tan(Q) in triangle QRS is 3/4.

Similar figures

Two figures are said to be similar to each other if they have the same shape and the ratio of their corresponding sides are proportional. Corresponding angles are equal.

Given that triangle QRS is proportional to triangle XYZ

∠Q = ∠X, ∠S = ∠Z, ∠R = ∠Z

tan(Q) = tan(X) = 9/12

tan(Q) = 3/4

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