How Tall Is It?By:

Will Basden

Damon Hall

Jordan Yousif

March 8, 2011

Will Basden 60°

60°

5

Height to head=60÷12=5 feet

Special Right TrianglesLong leg=short leg*√34*√3=long leg4√3+5=5+4√3 feet.The height to the square is 5+4√3 feet.

4

TrigonometryTan 60=x/44*tan 60=xx=6.936.93+5≈11.93The height to the square is about 11.93 feet.

Trigonometry

Tan 45 = x/10x = 10Arch = 10+5.7 = 15.7

10 ft

x

5.7 ft

Special Right Triangles

leg = leg10 = 10

45

45

Will Basden 30°

Height to head=60÷12=5 feet

30°

511

Special Right TrianglesShort leg=long leg÷√3Short leg=11/√3Short leg=11√3/311√3/3+5=11√3/3+5The height to the square is 5+11√3/3 feet.

TrigonometryTan 30=x/11x=tan 30*11x≈6.35Height to square =5+6.35=11.35The height to the square is approximately 11.35 feet.

40o

Trigonometry

Tan 40 = x / 7x ≈ 5.87h ≈ 5.87 + 4.92h ≈ 10.79 ft

The length from the ground to the square is 10.79 ft.

Jordan = 59 inches tall59 inches = 4.92 ft

Results

Angle Measurement Approximate Height to square

30° 11.35

45° 15.7

60° 11.93

40° 10.79

Average 12.44

We figured that the height to the square on the wall was about 12.44 feet high.