Indirect Measurement group project. By: Group #2 - Taylor Gowan, Olivia Strandin , Aryanna Gorospe and Angelo Commandatore. Strategies. TANGENT TRIANGLE SIMILARITY THM 30-60-90 TRIANGLE THM. TANGENT. Tangent = opposite adjacent Tan 32 = Y
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By: Group #2 - Taylor Gowan, Olivia Strandin, AryannaGorospe and Angelo Commandatore
Tangent = opposite adjacent
Tan 32 = Y
0.624869 = Y
324.819in = x
Step 1. Draw picture of your triangle
Step 2. Add information and measurements
Step 3. Tangent definition
Step 4. plug in measurements
Step 5. Use calculator for Tan 32
Step 6. Multiply by 427
Step 7. add in eye height
Height of person = Height of Pole
length of persons shadow shadow of pole ∆ similarity thm
62in = x inPlug in #s
62 • 427 = x • 88 Cross multiply
26474 = 88x Divided by 88
300.841 ≈ x
Longer leg = shorter leg • √3 30-60-90 ∆ Triangle thm
35.5 = y√3 substitute
35.5 = y divide each side by 3
35.5 • √3 = y Multiply numerator and denominator by √3
35.5√3 = y Multiply fractions
y ≈ 20.496 ft. Use calculator to approximate answer
20.296 + 3.6 ft = x Add the eye height to the total distance
23.896 ft = x add to find height
The Triangle similarity theorem seemed to be best because its simpler to find the measurement of a shadow then an angle. The numbers seemed to be fairly close to each other.
Around the 20s.
The most accurate strategy was the 30-60-90 Triangle thm because this gave us the exact angle measure. (30º) with the other two strategies we had to estimate the angle measure.
I would recommend the Triangle similarity theorem for others to try. It was the most efficient in time and least amount of work.