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Name:
Date:
Geometry
9.4 Special Right Triangles
Answer the following in simplified radical form.
9.5 Trigonometric Ratios
Round answers to four decimal places.
9.5, continued
Round answers to the nearest tenth.
The hill itself (sloped part) is 52.6 ft. long.
9.6 Solving Right Triangles
Round answers to the nearest tenth.
9.4 Special Right Triangles
9.5 Trigonometric Ratios
9.6 Solving Right Triangles
If sin(A) = x, then sin-1(x) = mA
If cos(A) = y, then cos-1(y) = mA
If tan(A) = z, then tan-1(z) = mA
9.4 Answers
Plug into the formulas! If necessary, isolate the variable and rationalize the denominator.
For 30º-60º-90º, start by asking, “Which side am I given?” so you know which of the two formulas to
use first.
9.5 Answers
Sine, cosine, and tangent are just ratios; you will not need to use the SIN COS TAN buttons on the
calculator! Just put the ratio itself (e.g., 4/5) into the calculator to get the decimal (e.g., 0.8).
9.6 Answers
Given two sides: Use Pythagorean theorem to find third side; use inverse trig. to find one acute angle
and subtract it from 90º to find the other acute angle.
Given one side and one acute angle: Subtract the angle from 90º to find the other angle; use trig. to find
the two sides.