A tree standing vertically on level ground casts a 140 foot long shadow. The angle of elevation from the end of the shadow to the top of the tree is 24.7°. Find the height of the tree to the nearest foot.
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you use trigonometry to solve this x is height of the tree
which trigonometric ratio do we use here?
the trig ratios are sine, cosine and tangent - do u know what each of those are?
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I'm really not good at this i tried many times
they are the ratios of the different sides in a right angled triangle
x is the angle
O = opposite side
H = hypotenuse (longest side)
A = adjacent side
sin x = O / H
cos x = A / H
tan x = O / A
you remember these by memorizing the following bit of nonsense
in a right angled traingle you can find lengths of sides and angles as long you know the value of another 2 sides/angles
in your problem you know one angles 24.7 degrees and you know the adjacent side 140 and you need to find the opposite side
x = 24.7, A = 140 and O = ?
so you have O and A (TOA) so u need to use the tangent (T)
tan 27.4 = x / 140
so x = 140* tan 24.7
grab your calculator and you can work this out