What’s the measure of angle X?
1 answer:
Answer:
x = 84°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
129° is an exterior angle of the triangle, thus
x + 45° = 129° ( subtract 45° from both sides )
x = 84°
The 2 triangles formed by the tree/ shadow and Jordan/ shadow are similar and ratio of corresponding sides are equal, that is
let h be the height of the tree, then
=
= 5 ( multiply both sides by 7 )
h = 35
The height of the tree is 35 ft
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Note that
, so that 
. Adding 
doesn't change this, since 
.
So if we suppose
then substituting
would give
To make sure everything cancels out, multiply the second degree term by
, so that
Then if
, we get
as desired. So one possible ODE would be
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Note that
So if we suppose
then substituting
To make sure everything cancels out, multiply the second degree term by
Then if
as desired. So one possible ODE would be
(See "Euler-Cauchy equation" for more info)