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2 years ago

Two angles are complementary. one contains 30° more than the other. find both angles. the measures of the angles are degrees.

Mathematics

2 answers:

WITCHER [35]2 years ago

8 0

30 & 60

would be the answer to your question

miskamm [114]2 years ago

6 0

Answer: Our two are angles are

$30\textdegree\ and\ 60\textdegree$

Explanation:

Since we have given that

There are two complementary angles

Complementary angles are those angles whose sum is $90\textdegree$

Let first angle be x

Let second angle be $x+30\textdegree$

According to question,

$x+x+30\textdegree=90\textdegree\\\\2x+30\textdegree=90\textdegree\\\\2x=90\textdegree-30\textdegree\\\\2x=60\textdegree\\\\x=\frac{60\textdegree}{2}=30\textdegree$

So, first angle be $30\textdegree$

And second angle be

$30\textdegree+30\textdegree=60\textdegree$

So, our two are angles are

$30\textdegree\ and\ 60\textdegree$

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You stand a known distance from the base of the tree, measure the angle of elevation the top of the tree to be 15â—¦ , and then

gogolik [260]

Answer:

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Step-by-step explanation:

From the question we are told that

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Generally for small angles the series approximation of $tan \theta \ is$

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=> $\frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta = \pm p$

=> $d\theta = \pm \frac{\theta + \frac{\theta^3}{3} }{1+ \theta ^2} * \ p$

So for $\theta_1$

$d\theta_1 = \pm \frac{\theta_1 + \frac{\theta^3_1 }{3} }{1+ \theta_1 ^2} * \ p$

substituting values

$d [\frac{\pi}{12} ] = \pm \frac{[\frac{\pi}{12} ] + \frac{[\frac{\pi}{12} ]^3 }{3} }{1+ [\frac{\pi}{12} ] ^2} * \ p$

=> $d\theta_1 = 0.25 p$

Converting to degree

$d\theta_1 = (0.25* 57.29) p$

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Marianna [84]

Answer:

Step-by-step explanation:

smarty pants obv

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