Geometry Final Exam
3/4 = x/24
x = 18
5/9 = x/108
x = 60
tan <A = 1.2349. Find the angle to the nearest degree
51
A 30-foot tree casts a 12-foot shadow. Find the angle of elevation of the sun to the nearest degree.
680
x/x+2 = 6/7
x = 12
A sphere has a volume that is 35pi cubic meters. Find the radius of the sphere
3
Circle A has its center a A(5,7) and CB is tangent to circle A at B(2,8). Find the slope of CB
3
Find the geometric mean between 9 and 11
3 radical 11
What is the scale factor of that dilation of A to B ?
3/4
Solve for x (circle 7*5 = 3*x)
35/3
Solve for x (8, 8, 60 degree triangle)
4 radical 3
Find the volume of the cone to the nearest tenth
4,825.5
In circle P, m<QPR = 40. Find arc mQR
40
If measure of arc EGF = 235, find the area of the shaded sector
436.3
Find the magnitude of vector AB with A(3, 4) and B(-1, 7).
5
If JKL is similar to RST and RS = 14, ST = 12, TR = 10, and LJ = 14, then find the perimeter of JKL
50.4
When the sun's angle of elevation is 73 degrees, a tree tilted at an angle of 5 degrees from the vertical casts a 20-foot shadow on the ground. Find the length of the tree to the nearest tenth of a foot
51.1
Find x to the nearest degree
56
If ABC is similar to DEF, find the measurement of angle C.
59 degrees
Given the choice between doing an oral and a written report, 18 of the 28 students chose to do an oral report. Find the ratio of written to oral reports.
5:9
Find FH so that GH||DE.
6
Points G and H lie on circle T so that TH = 8 meters and m<GTH = 45. Find the length of arc GH to the nearest hundredth
6.28
Determine the radius of circle O
6.3
In PQR, p = 56, r = 17 and m<Q = 110. Use the Law of Cosines to find q to the nearest tenth.
63.8
If DE, EF, and FD are tangent to circle A, find EF
7
Find arc mGH
70
A 6-foot tall fence post cast a 2 1/2-foot shadow. At the same time, a nearby clock tower cast a 35-foot shadow. What is the height of the tower ?
84 feet
In circle X, chords AB and CD are congruent and AB is 9 units from X. Find the distance from CD to X
9
Solve for y (3 6 9 traingle)
9
Find the component form of vector AB with A(2, 3) and B(-4, 6)
<-6, 3>
Find the component for vector CD with C(5,-7) and D(-3,9)
<-8,16>
Which is the angle of depression in the figure to the right that I'm not willing to past on here ?
<AOT
Identify the similar triangles
LMN is congruent to QMP
Find the center of the circle whose equation is (x+15)^2 + (y-20)^2 = 100
(-15,20)
Solve for x (circle w 72 degrees)
144
Find the geometric mean between 7 and 12.
2 radical 21
Solve for x to the nearest tenth
5.9
Solve for c
7 radical 2
Identify the solid figure to the right
square pyramid
Refer to Circle X. Find the length of tangent YZ
square root of 209
A pilot is flying due east at a speed of 300 miles per hour and wing is blowing due north at 50 miles per hour. What is the magnitude of the resultant velocity of the plane ?
square root of 92,500
Find the polygon that is similar to ABCD
D.
Find the volume of the pyramid
101.8
The ratio of the measures of the three angles in a triangle is 3:6:1. Find the measure of the largest angle.
108
If arc mTA = 110, what is m<TAK ?
125
If AB is tangent to circle P at B, find m<1.
137
Solve for x (6 6 8 triangle)
2 radical 5
In PQR, RS = 4 and QS = 6, find PS.
2 radical 6
Find the equation of circle P
(x-4)^2 + (y+2)^2 = 9
tan 16. Find the decimal equivalent
0.2876
Find the value of X (40^2 + 16^2=[3x+x+2]^2)
10
Find the volume of the oblique cone. Round to the nearest tenth
100.5
A ship's sonar finds that the angle of depression to a wreck on the bottom of the ocean is 12.5 degrees. If a point on the ocean floor is 60 meters directly below the ship, how many meters is it from that point on the ocean floor to the wreck ? Round your answer to the nearest tenth.
207.6
Triangle LMN is similar to triangle RST, LN = 21, MN = 28, and the scale factor of RST to LMN is 3/4. Find ST.
21
The three sides of a triangle are in the ratio 2:4:5. If the shortest side of the triangle is 4 meters long, find the perimeter.
22 meters
A right triangular pyramid has a 12-meter height and a base with legs that are 3 meters and a 4 meter lonB. Find the volume of the triangular pyramid
24
In ABC a = 12, b = 8, and m<A = 40. Find m<B to the nearest tenth.
25
Triangle JKL is inscribed in circle P with diameter JK and arc mJL = 130. Find m<KJL
25
A boat is 1,000 meters from a clifA. If the angle of depression from the top of the cliff to the boat is 15 degrees, how tall is the cliff ? Round your answer to the nearest tenth.
267.9
Find the volume of the cube
27
The are of the base of a prism is 96 square centimeters and the height is 9 centimeters. Find the volume of the prism.
864
