Tic-Tac-Toe Trigonometry Grid 1

Brian’s kite is flying above a field at the end of 65 m of string. If the angle of elevation to the kite measures 70°, how high is the kite above Brian’s head? / From an airplane at an altitude of 1200 m, the angle of depression to a rock on the ground measures 28°. Find the distance from the plane to the rock. / From a point on the ground 12 ft from the base of a flagpole, the angle of elevation of the top of the pole measures 53°. How tall is the flagpole?
A wire walker starts 50 feet above ground. The wire extends to the ground. She measures the angle of depression to the other end of the wire and finds it is 65 degrees. How long is the wire? / From a plane flying due east at 265 m above sea level, the angles of depression of two ships sailing due east measure 35° and 25 °. How far apart are the ships? / An observer in a helicopter flying at 1000m observes a boat at an angle of depression of 28 degrees. To one decimal place, what is the horizontal distance between the helicopter and the boat>
A rescue team 1000 ft. away from the base of a vertical cliff measures the angle of elevation to the top of the cliff to be 70°. A climber is stranded on a ledge. The angle of elevation from the rescue team to the ledge is 55°. How far is the stranded climber from the top of the cliff? (Hint: Find y and w using trig ratios. Then subtract w from y to find x) / A person in an apartment building sights the top and bottom of an office building 500 ft. away. The angle of elevation for the top of the office building is 23° and the angle of depression for the base of the building is 50°. How tall is the office building? / A ladder on a fire truck has its base 8 ft. above the ground. The maximum length of the ladder is 100 ft. If the ladder’s greatest angle of elevation possible is 70°, what is the highest above the ground that it can reach?

Tic-Tac-Toe Trigonometry Grid 2

The angle of elevation of the top of a cliff from the point Q on the ground is 30°. On moving a distance of20 mtowards the foot of the cliff the angle of elevation increases to xo. If the height of the cliff is17.3 m,then find xo. / From the top of a lighthouse 210 feet high, the angle of depression of a boat is 27°. Find the distance from the boat to the foot of the lighthouse. The lighthouse was built at sea level. / Tom and Sam are on the opposite sides of a tower of160 meters height.They measure the angle of elevation of the top of the tower as40°and55°respectively. Find the distance between Tom and Sam.
A 20-foot ladder leans against a wall so that the base of the ladder is 8 feet from the base of the building. What is the ladder’s angle of elevation? / A man on the deck of a ship is13 ftabove water level. He observes that the angle of elevation of the top of a cliff is40°and the angle of depression of the base is20°.Find the distance of the cliff from the ship and the height of the cliff if the base of the cliff is at sea level. / The angle of elevation from a car to a tower is 32°. The tower is 150 ft. tall. How far is the car from the tower?
From the top of a spire of height50 ft,the angles of depression of two cars on a straight road at the same level as that of the base of the spire and on the same side of it are 25° and 40°. Calculate the the distance between the two cars. / An airplane rises vertically 1000 feet over a horizontal distance of 5280 feet. What is the angle of elevation of the airplane’s path? / An escalator from the ground floor to the second floor of a department store is 110 ft long and rises 32 ft. vertically. What is the escalator’s angle of elevation?

SWAT IT! – Geometric Terms

*Note these may not be all term. Please refer to your notes.

Alternate Interior Angles / Complementary Angles / Midpoint / Straight Angle / Midsegment / Equilateral Triangle / ASA / AAS
Alternate Exterior Angles / Hypotenuse / Distance / Triangle Angle Sum Theorem / Median / Obtuse Angle / Pythagorean Theorem / Bisect
Corresponding Angles / Non-Adjacent Angles / Congruent / Exterior Angle Theorem / Centroid / Line / Hypotenuse-Leg Theorem / Angle Addition
Same-Side Interior Angles / Angle / Acute Angle / Isosceles Triangle / SSS / Linear Pair / CPCTC / Segment Addition
Vertical Angles / Ray / Right Angle / Converse of Isosceles Triangle Theorem / SAS / Point / Line Segment / Supplementary Angles

Proof Task Cards

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Factoring and FOILing Match
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