Geometry Worksheet (Page 2 of 3) in pdf

Geometry Worksheet Page 2

Now use the Pythagorean Theorem to verify that each triangle is indeed a right triangle! (SHOW YOUR WORK!)

ACD

BCD

ADB

SCORING

3 points-correct drawing with labels of the given situation

2 point each (6 points total)-correct geometric mean with work in simplest form

2 points each (6 points total)-correct Pythagorean Theorem for each triangle

MODULE THREE-Using Trigonometry to Find Unknown Heights (10 Points)

Materials Needed: Clinometer (or other device), tape measure, calculator (or trig. tables), pencil

Stand a given whole number distance (in feet) from the object to be measured. The distance from you to the

object to be measured should be level. RECORD THIS DISTANCE ON THE DIAGRAM BY A.

Have somebody measure the distance from the ground to your line of sight (eye height). Convert this

distance to a decimal in feet to the nearest hundredth. RECORD THIS DISTANCE ON THE DIAGRAM

BY B.

Using the clinometer (or other device), measure the angle from the your line of sight to the top of the object

to be measured (angle of elevation). RECORD THIS ANGLE ON THE DIAGRAM AS .

Solve for X in the right triangle. RECORD THIS DISTANCE ON THE DIAGRAM BY X.

Add the length of X and B together. This is the height of the object. RECORD THIS HEIGHT IN THE

BLANK!

 of elevation



Line of sight

Distance (A)

OBJECT HEIGHT = ________ feet

Geometry Worksheet Page 2