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 #49

Circle Geometry. Good ol' circles. Some really cool items are circular--pizzas, quarters, rings, pies, doughnuts, etc. Yeah...I like circles. So, we'll be working with one this week.

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

        ✔️     How to use circle theorems

Here is WMP! #49:

Happy solving!

Check back on Friday, May 14th 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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Alright y'all...I did the best I could to show my calculations and theorems/rules used. I also labeled the image...and in true Younge Lady fashion, I color-coded stuff. 

😁

▪️ How do you feel about geometry??

▪️ 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! #50. 👍🏿

Cheers!

The Younge Lady

Weekly Math Problem! #24

Trigonometric Equation. The last time I had a trigonometric equation on here was back in June, WMP! #8. (Be sure to check it out. 😉)  That trig equation didn't have any of the functions squared. This week's problems involves a squared function and a function with a double angle. I know, I know... Why, Lori?! Because it looked fun to solve. 🤓

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

        ✔️ Double angle formulas
        ✔️ How to solve quadratic equations
        ✔️ How to isolate the angle in a trigonometric function

By the way, you'll definitely need at least a scientific calculator for this one. Here is WMP! #24:

Happy solving!

Check back on Friday, October 23rd for the solution, which will be posted below ⬇️.

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✏️📓 Solution Time! 📓✏️

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This problem is a quadratic trigonometric equation. What makes it "difficult" to solve is the trigonometric function with the double angle. How do we deal with that? Use a double angle formula to replace it in the equation. Let me show you...

                                                                       

As you can see, switching out the double angle trigonometric function for an equivalent one helped a great deal. It allowed for the original equation to be reduced to a simpler quadratic equation that could be solved with ease...and a calculator...lol 😅.

 

▪️ Did you use the same double angle formula I used to solve?? 

▪️ Comment below with your responses and let me know what you thought about this week's problem.

Thanks for solving with me this week!

See you next week for WMP! #25

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Cheers!

The Younge Lady