High School Trig Problem Altitudes of Parallelogram

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SUMMARY

The discussion centers on calculating the area of a parallelogram with altitudes measuring 8 and 10 units, intersecting at an angle with a sine value of 1/4. The user seeks assistance in visualizing the problem and determining the area. To solve this, one must apply the formula for the area of a parallelogram, which is base times height, and utilize the sine function to find the necessary dimensions. The conversation highlights the importance of providing relevant equations and attempts when seeking help in mathematical forums.

PREREQUISITES
  • Understanding of the area formula for parallelograms
  • Knowledge of trigonometric functions, specifically sine
  • Ability to visualize geometric shapes and their properties
  • Familiarity with mathematical problem-solving in forums
NEXT STEPS
  • Research the formula for the area of a parallelogram using base and height
  • Learn how to apply the sine function in geometric calculations
  • Explore methods for visualizing geometric problems effectively
  • Review best practices for posting in math help forums, including relevant equations
USEFUL FOR

Students, educators, and anyone involved in geometry or trigonometry who seeks to understand the properties of parallelograms and improve their problem-solving skills in mathematical contexts.

Trepid
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Basically the altitudes of a parallelogram have two lengths, 8 and 10 and they intersect at an angle whose sine is 1/4. I'm attempting to find the area of the parallelogram.

I'm having trouble creating a good picture of it. Seeing if I could receive some help, thanks!
 
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Trepid said:
Basically the altitudes of a parallelogram have two lengths, 8 and 10 and they intersect at an angle whose sine is 1/4. I'm attempting to find the area of the parallelogram.

I'm having trouble creating a good picture of it. Seeing if I could receive some help, thanks!
Welcome to the PF. :smile:

Is this for schoolwork? If so, you need to post it in the Homework Help, Pre-Calculus Math forum, and fill out the Template there showing the Relevant Equations and your Attempt at Solving it.

You can also upload a PDF or JPEG image by using the Upload button in the lower right of the Edit window.
 

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