Name:______Date:______Period:______Geometry

4th Six weeks DCA Review

______1. A kite is tethered to a stake in the ground and is flying at a 30° angle of elevation. Which of these shows the relationship between x, the altitude of the kite, and y, the length of the kite string?

A. B. C. D.

2.  An Ipod screen is in the shape of a square with a diagonal that is 18 inches. To the nearest inch, what is the perimeter of the monitor?

P=______

3. Set up the equation to find x in the triangle at the right.

Eqn=______

______4. Which is NOT the correct expression for the picture?

A. sin-1 = B. tan-1 =

C. cos-1 = D. sin-1 =

______5. Solve for the variable y in the triangle at the right.

A. B. 48 cos58º C. 48 sin58º D.

______6. Choose the equation that is NOT true for the triangle at the right.

A. sin 28° = B. cos 28° =

C. cos 62° = D. sin 62° =

7. List the largest and smallest value possible for each Trig function for triangle ABC with right angle A:

Smallest Value Sin A = ______Cos A = ______Tan A= ______

Largest Value Sin A=______Cos A=______TanA=______

8.  Kendall and Sara are looking up at the Alamo that stands 33.6 feet tall. From Kendall’s position, the angle of elevation to the top of the Alamo is 57°. From Sara’s position, the angle of elevation is 51°. How far apart are Kendall and Sara? Round to the nearest foot.

Answer:______

9. The diagram below shows squares arranged around the edges of a right triangle.

What is the area of square B?______

What would it’s dimesions be?______

10. Find the missing side length. Tell if the side lengths form a Pythagorean triple.

Side:______

Triple: YES or NO

11. Find the value of x and y rounded to the nearest tenth.

X=______y=______

Tell whether a triangle with sides of given lengths is a Pythagorean triple…SHOW WORK.

______12. 3, , 6 ______13. 7, 24, 25

______14. 9, 5, 8 ______15. 24, 26, 10

16. A submarine at the surface of the ocean makes an emergency dive, its part making an angle of 21º with the surface. If it goes for 300 m along a downward path, how deep will it be?(DRAW A PICTURE)

answer: ______

17. The ratio of the side lengths of a right triangle are 3:4:5 and it’s perimeter is 50. Find the length of the hypotenuse.

Answer:______

18. The size of a Television is given by the length of it’s diagonal. The screen aspect ratio of a TV is the ratio of its width to its height. The screen aspect ratio of a standard TV screen is 4:3 and it’s perimeter is 126in. Find the size of the television.

Answer:______

19. The perimeter of the following isosceles triangle is 34 ¾ feet. Find the value of X.

X=______

______20. If both of the dimensions of a rectangle are tripled, then the

perimeter of the new rectangle is ______.

______21. A kite is dilated by a factor of 5/2. Compare the perimeter of the

new kite to the original kite.

A)  The perimeter is 2/5 as large.

B)  The perimeter is 5/2 as large

C)  The perimeter is 25/4 as large.

D)  Cannot be determined.

22. Find the perimeter of a square with a diagonal of 24 cm. Give the exact answer.

P=______

23. Find the length of a 60˚ arc in a circle with a radius of 18 inches. Give in terms of Pi and Approximate.

Exact=______

Approx=______

24. Complete the formula based on the information given in the diagram.

area of inner square=______

What is another way to express the area of the inner square in terms

of a & b?

______

______25. Find the length of arc AM.

(Exact answer)

______26. The Singapore Flyer, the world’s tallest Ferris wheel, stands 165

meters tall, the equivalent of 42 stories tall! The distance from the center to each seat is 75 meters. If you were to turn 270˚ on the ride, how much distance would you travel? Round to the nearest tenth.

27. Layla has a garden in the shape to the right. She is creating of border of rocks around the perimeter. She has discovered that she must make the garden 3 feet shorter in length so that she has enough rocks for the border.

How many feet will the new perimeter be?______

How many inches?______

How many yards? ______