0 like 0 dislike
0 like 0 dislike
Trigonometry: How to Compute the length of my shadow using a clinometer?

3 Answers

0 like 0 dislike
0 like 0 dislike
Using the clinometer, measure the angle of depression of the tip of your shadow and call it θ. You will need h, the height of the clinometer.

Draw a triangle. Let x=length of shadow. θ is also the angle of elevation pointing to the clinometer.

tan(θ)=h/x
0 like 0 dislike
0 like 0 dislike
You measure 30° and you know your eye height is 143 cm,

tan(30)=143/x

x=143/tan(30)=248 cm=

shadow length

You are done
0 like 0 dislike
0 like 0 dislike
Wait now i think, so when i get the x I’ll just have to add the value difference between the eye height and the whole height so i will get the total value of my shadow length?

1st Example:

I get 30 degrees from the Clinometer as an angle of depression

30-90= 60 degrees

Now the elevation and depression is 60 degrees.

X (Adjacent)

my eye height is 143 cm (Opposite)

Then the angle is 60 degrees (Theta)

We will use Tangent

x=143/tan(60) = 82.56

Now my whole height is 153

The difference value of my eye height and whole height is 10 because 143-153 = 10

85.56+10=95.56

Length of my shadow is 95.56cm

2nd Example: Instead of using my eye height, i will get the length of shadow using my whole height.

153/Tan(60)=88.33

Therefore my shadow length is 88.33 cm

Which one is the right one? The 1st example or 2nd example?

I am in hurry so i can’t provide the full solution sorry

Related questions

0 like 0 dislike
0 like 0 dislike
1 answer
MSR_Tlse asked Jun 21
Are the S3/S4 Edexcel Further Maths units useful to become an actuary? Topics include sampling, unbiased and biased estimators, confidence intervals and significance test...
MSR_Tlse asked Jun 21
0 like 0 dislike
0 like 0 dislike
2 answers
driveshift asked Jun 21
I did this all wrong but got the right answer? Took half of .075, used d=(1+i)/i to get discount rate, and just added. Decimal was off, but i got the numbers right. Luck?...
driveshift asked Jun 21
0 like 0 dislike
0 like 0 dislike
4 answers
GCFtalk asked Jun 21
For GHDP, if you had to choose one of the below study material packages.
GCFtalk asked Jun 21
by GCFtalk
0 like 0 dislike
0 like 0 dislike
3 answers
piyu_logy asked Jun 21
Are insurers prepared to handle the legalization of psilocybin?
piyu_logy asked Jun 21
0 like 0 dislike
0 like 0 dislike
0 answers
stefchura asked Jun 21
Introduction to the Theory of Statistics - Mood, Graybill, and Boes
stefchura asked Jun 21

24.8k questions

103k answers

0 comments

33.7k users

OhhAskMe is a math solving hub where high school and university students ask and answer loads of math questions, discuss the latest in math, and share their knowledge. It’s 100% free!