Answer: 25.2361459992ft
This question can be solved by a trigonometric equation. Shadow formed when something with height like a tree, so it can be pictured as a vertical line. Shadow is a length of and can be pictured as a horizontal line.
In trigonometric, to find the vertical line length with horizontal line you need tan function. The sun angle will be used in the function, so the calculation would be: tan(31) x 42ft = 25.2361459992ft
Answer:
The correct answer is option <em>B. AA</em>
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Step-by-step explanation:
Given two triangle:
and
.
The dimensions given in
are:

We know that the sum of three angles in a triangle is equal to
.

The dimensions given in
are:

We know that the sum of three angles in a triangle is equal to
.

Now, if we compare the angles of the two triangles:

So, by AA postulate (i.e. Angle - Angle) postulate, the two triangles are similar.
by <em>AA theorem.</em>
<em>So, correct answer is option B. AA </em>
Answer:
<u>5x+10</u>
27x
Step-by-step explanation:
cross multiply
Answer:
Congruence between pentagons
Step-by-step explanation:
The relationship occurs because having two congruent Pentagons and generating a segment within them (or outside), congruence is extrapolated to the triangles generated within them. Thus, if there is congruence among the pentagons, it will exist between the formed triangles. In other words since the two pentagons are congruent, the corresponding angle pair is congruent. also the two corresponding side pairs are also congruent.
In the attached image for example, the ABCDE and KLMNO pentagons are congruent, so all of their internal division lines are also congruent (AC and KM)