41b. 60

42.

An easy way to solve for unknown sides and/or angles of a right triangle is to use

trigonometry.

Either of the two unknown angles in a right triangle can be found by

dividing one known side by the other known side; then looking up their quotient (answer)

in a Table of Natural Functions. In this table, angles (in degrees) are listed opposite the

function values.

NOTE:

For your convenience in solving trigonometry problems, the last page of this

booklet has a Table of Natural Functions. Take a quick glance at it now; then

continue on this page.

In trigonometry, the acute angles of a right triangle are called PHI (pronounced fi) and

THETA (pronounced that ta). Angle phi is formed by the hypotenuse and the vertical

side (altitude). Angle theta is formed by the hypotenuse and the horizontal side/base).

The symbol for phi is and for theta is . The symbol

means "angle phi" and

means "angle theta."

On the drawing below, place the symbols for phi and theta beside the arc (

) that

scribes the correct angle for each.

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