I haven't been able to figure out this question.
Q. Select a real-life object (tree, flagpole,etc.). Describe how to measure an object or distance by right-angled trigonometry, using similar methods like SOH-CAH-TOA &/or the Pythagorean theorem. Organize all the data you need and perform the calculations. Present the results and state your conclusions.
I chose a flagpole and soh-cah-toa and also drew and labelled the diagram. But how do I perform calculations if there are no measurements?
Thank you :)
Q. Select a real-life object (tree, flagpole,etc.). Describe how to measure an object or distance by right-angled trigonometry, using similar methods like SOH-CAH-TOA &/or the Pythagorean theorem. Organize all the data you need and perform the calculations. Present the results and state your conclusions.
I chose a flagpole and soh-cah-toa and also drew and labelled the diagram. But how do I perform calculations if there are no measurements?
Thank you :)
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You need measurements to calculate the height of the object, I am assuming you are allowed to measure the distance of the base, i.e. you can say you are "6 feet away from the flagpole" and that the angle from the base of your feet to the top of the flagpole is 45 degrees... having those two measurements is enough to figure out the height
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I would just pick a convenient number, label it in the diagram, and use it in your calculation.
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The problem states choosing any object and gave you examples, e.g., tree, flagpole, etc.
Now you can make your life so much simpler by choosing objects easily meaurable and select the Pythagorean Theorem to solve.
Ex:
A friend asks you to tell him the display size of your computer monitor; you never paid attention when you bought it (b/c it just looked cool?) So, how do you answer him?
The size of a display is usually by monitor manufacturers given by the diagonal i.e. the distance between two opposite screen corners.
-now you can easily measure the two straight edges with a 90 degree angle between them
- let's call the measurements:
a = one straight side
b = the other straight side
c = hypotenuse (the diagonal line connecting the furthermost points of each side
Pythagorean theorem formula:
formula 1) a^2 + b^ 2 = c^ 2
so now just measure a and b and plug into formula 1)
now you will get a constant on the left side of the equation.
take the square root of that number
(REMINDER: you will get +/- since you are taking the square root)
a negative dimension does not exist; so ignore it
the positive dimension will be the measurement of the hypotenuse or the diagonal line connecting
the right degree two lengths.
let's say you have:
a = 14
b = 16
14^2 + 16^2 = c^1
196 + 256 = c^2
452 = c^2
+/- 21.26 (round this down) = c
a negative measurement is moot here; so ignore it.
So NOW you can tell your friend you have a 21 inch display size on your monitor.
Now you can make your life so much simpler by choosing objects easily meaurable and select the Pythagorean Theorem to solve.
Ex:
A friend asks you to tell him the display size of your computer monitor; you never paid attention when you bought it (b/c it just looked cool?) So, how do you answer him?
The size of a display is usually by monitor manufacturers given by the diagonal i.e. the distance between two opposite screen corners.
-now you can easily measure the two straight edges with a 90 degree angle between them
- let's call the measurements:
a = one straight side
b = the other straight side
c = hypotenuse (the diagonal line connecting the furthermost points of each side
Pythagorean theorem formula:
formula 1) a^2 + b^ 2 = c^ 2
so now just measure a and b and plug into formula 1)
now you will get a constant on the left side of the equation.
take the square root of that number
(REMINDER: you will get +/- since you are taking the square root)
a negative dimension does not exist; so ignore it
the positive dimension will be the measurement of the hypotenuse or the diagonal line connecting
the right degree two lengths.
let's say you have:
a = 14
b = 16
14^2 + 16^2 = c^1
196 + 256 = c^2
452 = c^2
+/- 21.26 (round this down) = c
a negative measurement is moot here; so ignore it.
So NOW you can tell your friend you have a 21 inch display size on your monitor.