Geometry – Unit 8

$100 Special Right Triangles Sine, Cosine, &Tangent Elevation & Depression Wild Card! $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Pythagorean Theorem Unit 8 Review Jeopardy

100 Yes Are the numbers 9, 15, and 12 a Pythagorean triple?

200 Obtuse Is a triangle with side lengths 21, 7, and 19 acute, obtuse, or right?

300 Find the value of x. Leave your answer in simplified radical form x

400 A park in the shape of a square has an area of 81 yards squared. If a diagonal walking path was constructed from corner to corner, how long would it be? Find your answer in decimal form, rounded to the nearest tenth of a yard yards

500 Find the value of x. Leave your answer in simplified radical form. x 3

x = 10, y = Find the values of x and y. x y

200 Find the values of x and y. 30° x y 3

300 Find the values of x and y 12 x y

400 Find x and y. x 8 y 30º

500 Find x, y, and z. Leave your answers in simplified radical form. 45º60º x z y

100 Write ratios for sinA, cosA, and tanA A B C

200 Find x. Round your answer to the nearest tenth. 15 x 43º x = 10.2

300 Find y. Round your answer to the nearest tenth y = y 35º

400 x = 37º Find x. Round your answer to the nearest degree. 12 x 9

500 Find x and y. Round your answer to nearest degree x y x = 62°, y = 28°

100 You want to measure the height of a tree, so you walk exactly 100 feet from the base of the tree. The angle from the ground to the top of the tree is 33°. How tall is the tree? 100 ft. 33º 64.9 ft. tall

200 A skyscraper is 350 ft. tall. If the angle from the ground where you are standing to the top of the building is 41º, how far away are you from the base of the building? ft.

300 A bird on top of a 20 foot roof spots a worm at an angle of depression of 22º. If the bird flies directly towards the worm at this angle, what is the distance it will fly? 53.4 feet

22º 400 An airplane is flying at a height of 2 miles above the ground. The distance along the ground from the plane to the airport is 5 miles. What is the angle of depression from the airplane to the airport?

500 A squirrel sits on top of a fence post. If a dog is looking up at the squirrel at an angle of elevation of 47º, and the distance from the squirrel to the dog is 15 yards, how tall is the fence? 11 yards

100 Simplify the following radical:

200 Find the value of x. Leave your answer in simplified radical form x

300 A hot-air balloon is at an altitude of 300 m. The pilot can still see its starting point on the ground at a 25° angle of depression. How many meters is the balloon from the starting point? m

400 Simplify the following radical expression.

500 Find the value of x. x = 18.6

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