Benchmark Review Q3

SOHCAHTOA

100

Consider this right triangle:

 

 

Select the ratio equivalent to tan(B).

10

200

Which trigonometric function would you use to find AC using the  m<A and BC?

Tangent Ratio

300

Compute/calculate the length of BC if the angle given the following data for <A is 60o :

sin 60o =.866

cos 60o  =.500

tan 60o= 1.732

 

 

10.4

400

A pine tree makes a shadow of 120 ft. If the angle of elevation is 50o, which is the closest distance from the top of the tree to the tip of the shadow?

sin 50o=.766

cos 50o=.643

tan 50o=1.192

 

186.6 ft

500

Two girls stand on the opposite sides of a lake shown below. Girl A stands 30 yards away from a nearby tree. Girl B views the tree at an angle of 70 degrees . To the nearest whole  yard, how far is Girl A to Girl B, d ? 

11 ft

Parallelograms and Quadrilaterals

100

What is a quadrilaterial with four congruent sides and no right angles?

Rhombus

200

Examine the parallelogram below.

 

Determine what is the correct value for x.

x=10

300

a=40;b=30

400

Triangle XYZ is plotted in the coordinate plane with points X(4,-1), Y(5,6), Z(1,3). Triangle XYZ is a triangle which best classified as ________triangle

isosceles

500

Quadrilateral WXYZ  has vertices W(-5,-1), X(1,3), Y(3,0) and Z(-3,-4). Quadrilateral is best classified as a__________________.

Rectangle

Angles in Circles

100

If arc AB = 60o and arc  DC = 82o, what is <3?

71^o

200

Suppose arc CD = 120o and arc AB= 54o.  Find <E.

33^o

300

In circle P, <ADB is 30o. Find the measure of <APB.

 

60^o

400

What is the value of xo ?

 

112^o

500

uppose arc AB= 110o and <A is 36o. Find <B.

 

89^o

Arclength and Sectors of a Circle

100

Find the area of the shaded sector. Round your answer to the nearest tenth. Use 3.14 for .

 

94.0 m²

200

Find the arclength AB when the diameter of the circle is 12 inches.

110/30or 3.66

300

Find the length of ABC in circle D

 

 

6.2 

400

What is the value of xo ?

112^o

500

Matthew rides on his cool motorcycle bike everyday. The diameter of of the wheel is 20 inches and the  central <ABC is 30 degrees.

 

Find the approximate area of the sector ABC on the bike's wheel?

26 sq. in

Equation of a Circle

100

A

200

Identify two equations that represents a circle  with diameter length of 18.

 

Choice 2 and Choice 4

300

What is the standard form of the equation of a circle with center (-3,2)  and radius 4?

 

Choice 1

400

A circle is defined by the equation (x-4)2 +y2 = 9. Identify TWO points that lie on the circle.

 

Choice 2 and 3

500

Find the  radius of the circle described by the x2+4x+y2-6y=23.

6