Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
Using the slope concept, it is found that his friends are 20 feet apart.
What is a slope?
The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
For the first friend, there is a vertical change of 34 feet and an angle of 34º, hence his position is:
[tex]\tan{34^\circ} = \frac{34}{x_1}[/tex]
[tex]x_1 = \frac{34}{\tan{34^\circ}}[/tex]
[tex]x_1 = 50.4[/tex]
For the second friend, there is a vertical change of 34 feet and an angle of 48º, hence his position is:
[tex]\tan{48^\circ} = \frac{34}{x_1}[/tex]
[tex]x_1 = \frac{34}{\tan{48^\circ}}[/tex]
[tex]x_2 = 30.6[/tex]
The difference is of:
50.4 - 30.6 = 19.8.
Rounding to the nearest foot, his friends are 20 feet apart.
More can be learned about the slope concept at https://brainly.com/question/18090623
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.