In this diagram, lines AC and DE are parallel and line DC is perpendicular to each of them. What is a reasonable estimate for th
1 answer:
The reasonable estimate for the length of side DE is 3 units
Find the diagram of the question attached. The given triangle ABC and BDE are similar triangles.
Using the similarity theorem of a triangle, this is expressed as:
AC = DE
Using the pythagoras theorem to get the length of AC:
AB^2 = AC^2 + BC^2
5^2 + AC^2 + 4^2
AC^2 = 25 - 16
AC^2 = 9
AC= 3
Since AC = DE, hence the reasonable estimate for the length of side DE is 3 units
Learn more on similar shapes here: brainly.com/question/14285697
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Answer:
+120/169 or -120/169
Step-by-step explanation:
- let
where, alpha is some angle that satisfies the assumed condition.
- so,
[ taking cos to the other side or applying cos on both sides]
- now, substitute this in the given expression
as sin =
[by general trigonometry formula: ]
so if , we can get sin
from the above formula as + or - 12/13
(because, after taking square root on both sides we keep + or -]
- as, sin
[by general trigonometry formula]
- here, now
so, the final value can be 120/169 or -120/169.