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3 years ago

The sine of 58º is equal to the cosine of what angle?

Mathematics

1 answer:

solniwko [45]3 years ago

7 0

Check the picture below.

in a right-triangle, the cosine of one of the acute angles, is equivalent to the sine of the "other" acute angle, as the example shows in the picture.

and since both acute angles are "complementary angles", namely they add up to 90°, then

sin(58°) = cos(90° - 58°)

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Evaluate the expression 4(n+3) - 5r for n = 1/5 and r= 1/5.

myrzilka [38]

Answer:

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Step-by-step explanation:

4(1/5+3)-5(1/5)

-> 59/5, 11.8

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Read 2 more answers

Micah places a mirror on the ground 24 feet from the base of a tree. He walks

irina [24]

The height of tree is 8 feet

<h3><u>Solution:</u></h3>

Given, Micah places a mirror on the ground 24 feet from the base of a tree

At that point, Micah's eyes are 6 feet above the ground

And he is 9 feet from the image in the mirror.

To find : height of tree = ?

Let "n" be the height of tree

From the question, we can see there is a directly proportional relationship between heights and distances.

Proportional relationships are relationships between two variables where their ratios are equivalent.

$\frac{\text { height of micah eyes above ground }}{\text { distance of micah from mirror }}=\frac{\text { height of tree above the ground }}{\text { distance of tree from mirror }}$

$\begin{array}{l}{\frac{6 \text { feet }}{9 \text { feet }}=\frac{n \text { feet }}{24 \text { feet }}} \\\\ {\frac{6}{9}=\frac{n}{24}} \\\\ {\text { n }=\frac{1}{3} \times 24} \\\\ {\text { n }=8}\end{array}$

Hence, the height of the tree is 8 feet

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Answer:

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Step-by-step explanation:

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