Ch 8 Review Questions

Pythagorean Theorem Find the missing side 15 x 30

Pythagorean Theorem Find the missing side. Leave answer in square root (radical) form. 12 ft x 16 ft

Using the Pythagorean Theorem Your house is at (-4, 2). A store is at (3, -2). How far is it from your house to the store ?.. House Store

Pythagorean Theorem A triangle has sides of length 12 cm, 14 cm and 16 cm. Is it a right triangle?

Pythagorean Theorem A triangle has sides of lengths 13 in, 10 in and 12 in. Is it acute, obtuse or right?

45 – 45 – 90 Triangles ∠ C is right angle. ∠ B is 45 o. Find AB A C B 11 ft

45 – 45 – 90 Triangles Find the length of one leg. A C B 24 ft 45 o

45 – 45 – 90 Triangles Find x. A C B 9 ft 45 o x

30 – 60 – 90 Triangles Find x. AC B 11 ft 60 o x 22 ft

30 – 60 – 90 Triangles Find x and y. AC B y 60 o x

30 – 60 – 90 Triangles Find x and y. AC B 6 cm 60 o x y

Trigonometry

Write the ratios for sin A and cos A. A 6 B C 14

Trigonometry Write the tangent ratios for ∠ A and ∠ B. A 6 B C 14

Trigonometry Find x rounded to the nearest tenth. A 6 B C x 35 o

Trigonometry Find x rounded to the nearest tenth. A 16 B C x 29 o

Trigonometry Use a trig ratio to find x. A 5 B C x 19 o

Trigonometry Use a trig ratio to find x. A 5 B C 17 xoxo

Trigonometry Use a trig ratio to find x. A 15 B C 19 xoxo

Angle of elevation Which angle is the angle of depression from the dotted line and which one is the angle of elevation? 1 2

Using Trigonometry How tall is the tree? 65 o 28 ft

Using Trigonometry How much higher does the ladder that’s 3 ft from the building reach than the one 6 ft from the building? 12 ft 3 ft6 ft 12 ft

Using Trigonometry A hang glider is approaching the ground at an angle of depression of 15 o. How far will he travel before landing? 650 ft 15 o d

Using Trigonometry Draw a diagram showing someone on a 40 ft tall building looking at an object in the distance at an angle of depression of 20 o. How are away is the object?

Review How can you prove the triangles congruent?