Use the triangle below and the given trigonometric ratio to determine which angle in the triangle below is

Mathematics

1 answer:

4vir4ik [10]4 years ago

7 0

Cosine is the ratio of the adjacent side to the hypotenuse.

In short, we have this equation
cos(angle) = adjacent/hypotenuse

In the case of cos(A) = 18/19.5 we can see that
adjacent = 18
hypotenuse = 19.5

The side of 18 cm is next to angle 2, so the 18 cm side is adjacent to angle 2 (in contrast, the 7.5 cm side is the opposite leg in relation to angle 2)

So that's why the answer is angle 2
In other words, replace the '2' angle marker with 'A' to be able to write cos(A) = 18/19.5

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Determine whether the triangles are similar. or not.

mr Goodwill [35]

Answer:

Step-by-step explanation:

We know that ∠ $ABE$ ≅ ∠ $DBC$ because they are vertical angles, so that's one pair of congruent angles. However, we can't compare ∠ $BAE$ and ∠ $DCB$ as they have different measures, so we'll have to find the measure of either ∠ $AEB$ or ∠ $BDC$ . Let's go with the former. Using the fact that the sum of the measures of the interior angles of a triangle is $180$ °, we know that $m$ ∠ $AEB=180-(53+42)=180-95=85$ °. Now, we know that ∠ $AEB$ ≅ ∠ $DCB$ because their measures are equal. That's another pair of congruent angles. Therefore, the angles are similar by $AA$ . Hope this helps!