How to a similar triangle word problem using proportions.
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Love your channel! Helps me keep my math skills sharp
Not boasting…took me 5 seconds max of brain use to work it out…do these type of problems really need long videos to explain kids stuff maths? I'm giving up with this channel.
Divide 20 by 6, you get 3.333. Divide 90 by 3.333 you get 27. But you probably learn more by doing it your way.
Shadow of the tree is 4.5 times of Ron. So tree's height 4.5 × 6 = 27 ft.
Four and a half times six feet equals twenty-seven feet.
Depends where the sun is
1st:
Quantify the relation between height (H) and shadow (S) :
H (ft-act) to S (ft-sha) = 6 ft-act/20 ft-sha
= 3/10
= 0.3 ft-act/ft-sha
2nd: apply to tree
S = 90 ft-sha
H = S × [H/S] see how S cancels?
H ft-act = 90 ft-sha × 0.3 ft-act/ft-sha
H ft-act = 27 ft-act
/// notice how the ft-sha of tree cancels ft-sha of ratio. A valuable lesson I picked up in Eng 101: the quantity identifiers MUST cancel.. i.e. , as above, "ft-sha" in numerator cancels out "ft-sha" in denominator.
As in when using mph there's miles in numerator and hour in denominator. Miles/hour × hours = miles! The "hour" in numerator cancels "hour" in denominator.
27
90 x 6 divide by 20 = 27
90/20 * 6 = 27 ft tall
The to triangles are similar, so this is a proportional gross up problem.
Trig is the most fascinating subject!
that's how we figure from here to mars
I am interested in rational thinking
I did proportion. 6/20=X/90. Solve for x. 6×90=540. 540/20=27. No advanced math needed.
Ron=6'
Shadow=20'
Shadow bigger by the factor (20/6)
Tree shadow=90'
Tree shadow x= 90 âž—(20/6) =27.02 feet
what's the problem with using ratio & proportion? 1e: 6:20 = X:90,
6×90/20
540/20 = 27
Therefore the tree is 27' tall
Don't forget to take into account the position and density of the light, the slope of the ground, or place and angle a shadow is projected to. You might find your theory is off. What is the answer of this: (6-1) x 0 = 5. Why is that? Theory math says the answer is 0, not 5. And yet the answer is 5.
27 bc 6ft is 30% of the 20ft shadow so 27ft is 30% of the trees 90ft shadow
27ft.
I actually did the shadows 90÷20=4.5 × RON'S height 6ft. 4.5×6=27.
27
27 ft.🤗
A little over 27' but also dependant if the same rule applies.