The sine of 49° is equal to the cosine of what angle?

Mathematics

1 answer:

Digiron [165]3 years ago

6 0

Sinα=cos(90-α) this is an identity which you need to know...

in this case:

sin49°=cos41°

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A 52 foot ladder is set against the side of the house so that it reaches up 48 feet .if jevonte grabs the ladder at its base and

Vesnalui [34]

Answer:

Step-by-step explanation:

The way to approach this that makes the most sense to a student would be to find out how far from the house the ladder currently is, then add 3 feet to that and do the problem all over again. This is right triangle stuff...Pythagorean's Theorem in particular. The ladder is the hypotenuse, 52 feet long. The height of the rectangle is the distance the ladder is up the side o the house, 48 feet. We plug those into Pythagorean's Theorem and solve for the distance the ladder is from the house:

$52^2=48^2+x^2$ and

$2704=2304+x^2$ and

$x^2=400$ so

x = 20. Now if we add the 3 feet that the ladder was pulled away from house, the distance from the base of the ladder to the house is 23 feet, the ladder is still 52 feet long, but what's different is the height of the ladder up the side of the house, our new x:

$52^2=23^2+x^2$ and

$2704=529+x^2$ and

$2175=x^2$ so

x = 46.6 feet

6 0

3 years ago

Whoever gets it right can have brainliest, but answer ASAP!

Scilla [17]

Answer:

$Hi!~I~am~beinggreat78,~and~I~will~help~you!$

Let's start by breaking down the problem.

This is how it should look. ↓

$60$ ÷ $20$ ⇒ $+ 3$ ⇒ $x * 5^2$

What does that <em>x</em> mean? <em>x</em> is just a substituted value for the first 2 equations.

Now, we can solve.

$60$ ÷ $20$ $= 3$

Add 3

$3 + 3 = 6$

Now, multiply 6 times 5 squared. What does 5 squared mean? 5 squared is just 5 times itself once. You most likely want to solve 5 squared before multiplying.

$5^2~or~5 * 5 = 25$