Weekly Math Problem #54

Angle of Elevation. I like trigonometry, actually. One of the reasons I can vibe with trig is due to the diagrams. Oh the diagrams! 🤩 I am super visual and being able to see the situation/scenario, the givens, and what is being asked for is huge for me. I'm not saying that my diagrams look good when I draw them. That's not what I am saying. I am, by no means, an artist but, I like to draw the diagrams, no matter how bad they look. 

To solve this week's problem in completion, you need to recall the following math skills:

        ✔️     How to draw diagrams
        ✔️     Trigonometric functions
        ✔️     How to round numbers

Here is what WMP! #54 says...

Happy solving!

Check back on Friday, June 18th for the solution, which will be posted below ⬇️.

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Buy Me a ☕️ Coffee: TheYoungeLady ( I'm gonna need it this year. 😆 )

✏️📓 Solution Time! 📓✏️

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Let's start by drawing the scenario presented in the problem. I'm not an artist, by any means...

Now that I can see what we're working with, I feel more comfortable solving the problem. The scenario can be outlined with a right triangle, as I did in grey. With this, I rely on SOH-CAH-TOA to help me with answering both questions presented in the problem...particularly SOH and CAH.

That's all, folks! 👍🏿 Just a note...The way I solved the second part isn't the only way it can be done. 

▪️ How did you solve this week's problem??

▪️ Let me know what you thought about this week's problem in the comments section. 

Thanks for solving with me this week!

Up next, WMP! #55. 😅

Cheers!

The Younge Lady

Weekly Math Problem #53

Rational Equation. (Why is it that when I am intentional about trying to simplify things in my life, my life gets more complicated? 😕🙄😩 Arghhhh! Before I digress more, let me focus.) I'm just taking it back to a classic topic that many don't like...and I don't blame them. FRACTIONS! Not just fractions but, fractions in an equation. I know, I know... L👀k, it wasn't my idea to put fractions and equations together but, it was my idea to make it this week's WMP! Why? Because we can do it and, it helps us to keep fundamental math skills sharp. Let's go!

To solve this week's problem in completion, you need to recall the following math skills:

        ✔️     How to solve an equation with fractions

WMP! #53 wants us to...

Happy solving!

Check back on Friday, June 11th for the solution, which will be posted below ⬇️.

Shameless 🔌 Plug: Follow me on Instagram @TheYoungeLady
Buy Me a ☕️ Coffee: TheYoungeLady ( I'm gonna need it this year. 😆 )

✏️📓 Solution Time! 📓✏️

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Ready? Let's go. 🏃🏿‍♀️ 

There are a couple of options here--either convert all of the fractions to have the same denominator or, make all of the denominators disappear. I am the type of person to do the latter. Lots of people don't like working with fractions. Nothing wrong with that...I totally get it. The good news is that you don't have to; you can "make them disappear".  😁  To make the fractions disappear, You need to find the LCD (least common denominator) for the fractions in the problem. 

Once the LCD has been found, use it to make the fractions disappear. How? Glad you asked. Multiply every fraction in the equation by the LCD. Then solve the resulting linear equation.

Let's check the solution...just in case a mistake was made in solving. 😉

And that's a wrap! 

▪️ How did you solve this week's problem??

▪️ Let me know what you thought about this week's problem in the comments section. 

Thanks for solving with me this week!

Up next, WMP! #54. 😅

Cheers!

The Younge Lady