Geometry I Can Statements , TrigonometryName: ______

I can apply trigonometric ratios and the Pythagorean Theorem to determine missing sides or angles in a real-world setting. (G.SRT.C.8) DRAW A PICTURE FOR ALL PROBLEMS
1. A rectangular box has a length of 22 inches and a diagonal of 30 inches. What is the width? / 2. You are out exploring in the woods. You go 30 paces north and then 15 paces west. You want to go back to where you started. How many paces will that be?
3. You look up at a 150 foot tall building while standing 40 feet away. What will be the angle of elevation from the ground? / 4. A 6 foot tall tent has sides that meet at a 40° angle with the ground. What is the total width of the tent?
5. A staircase has a vertical rise of 8 feet.
a) If each step has a 6 inch tread height, find the number of stairs between the two floors.
b) If each step has a 10 inch tread depth, find the horizontal distance the staircase covers.
c) Find the length of the hand rail needed for the staircase.
d) Find the angle the stairs make with the ground. / 6. OSHA has determined that a ladder has to be 1 foot away from the building for every 4 feet of height that the ladder is on the building.
a) What angle would the ladder make with the ground?
b) If a 25 foot ladder is placed at this same angle, how high up the building would it reach?
c) If Drew placed a 20 foot ladder 3 feet away from a building, would this be safe? Explain why or why not.
d) If Najwa placed a 17 foot ladder so that it reached 12 feet high on a wall, would that be safe? Explain why or why not.
I can explain and use the relationships between the sine and cosine of complementary angles. (G.SRT.C.7)
Given ΔPQR~ΔXYZ with right angles at R and Z, determine which of the following ratios are the same. Explain why or why not. (Hint, if it helps you, put side lengths on the triangles). / Draw the triangles here:
Ratios / Equal or not equal? Explain.
Sin P and Cos Q
Tan Q and Tan Y
Sin P and Cos X
Cos Q and Sin X
I can determine trigonometric ratios of similar triangles. (G.SRT.C.6) ALL FRACTIONS SHOULD BE REDUCED
Given that ΔCAT~ΔDOG and G and T are right angles, find each of the following ratios given sin A = . (Hint, first find the missing side length). / Draw the triangles here:
Find the missing side length:
What is the ratio of each of the following?
Cos A =
Tan D =
Sin D =
Sin O =
Tan O =
Cos D =
Cos O =