Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 decade ago

Find the measure of angle A in right triangle ABC if it has vertices A(1,2), B(6,2), ......?

Find the measure of anlgle A in right triangle ABC if it has vertices A(1,2), B(6,2), and C(5,4). (Hint: You’ll need trigonometry!)

1 Answer

Relevance
  • 1 decade ago
    Favorite Answer

    The slope of AB is:

    m1 = (2 - 2)/(6 - 1) = 0

    The slope of AC is:

    m2 = (4 - 2)/(5 - 1) = 1/2

    So, the tangent of angle A is:

    tan A = (m2 - m1)/(1 + m1*m2) = (1/2)/(1 + 0*1/2) = 1/2

    Thus, A = arctan(1/2) = 26.565 deg.

Still have questions? Get your answers by asking now.