anonymous
  • anonymous
vance is designing a garden in the shape of an isosceles triangle. the base of the garden is 36 feet long. The function y = 18 tan theta models the height of the triangular garden. A. What is the height of the triangle when theta=45degrees? B. What is the height of the triangle when theta=55degrees? C. Vance is considering using either theta=45 degrees or theta=55degrees for his garden. Compare the areas of the two possible gardens. EXPLAIN how you found the areas. SHOW WORK FOR ALL PLEASE
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
|dw:1437249873609:dw|
anonymous
  • anonymous
@oleg3321
oleg3321
  • oleg3321
ehhh idk sorry

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More answers

anonymous
  • anonymous
It's ok thank you :)
anonymous
  • anonymous
@imqwerty do you know?
anonymous
  • anonymous
@ganeshie8
anonymous
  • anonymous
@Abhisar
anonymous
  • anonymous
@nincompoop
anonymous
  • anonymous
@kropot72
kropot72
  • kropot72
Which part are you having trouble understanding?
anonymous
  • anonymous
I dont know how to find any of the answers, that's why i need help and to show my work
kropot72
  • kropot72
Do you know how to find the value of tan 45 degrees?
anonymous
  • anonymous
No
kropot72
  • kropot72
You can use the online calculator here to find the value of tan 45 degrees: http://web2.0calc.com/
anonymous
  • anonymous
1
kropot72
  • kropot72
Correct. Now what is tan 55 degrees?
anonymous
  • anonymous
1.428
kropot72
  • kropot72
Correct again. The area of a triangle is found from: \[\large Area\ of\ \triangle=\frac{b}{2}\times\frac{h}{1}\] where b is the length of the base, and h is the vertical height. Or, in words, half the base times the vertical height. So the area of the triangle when theta is 45 degrees is found from \[\large \frac{36}{2}\times(18\times1)=?\ ft^{2}\]
anonymous
  • anonymous
18ft
anonymous
  • anonymous
@kropot72
kropot72
  • kropot72
That is not the correct result for the calculation of the area. Here is the required calculation for the area of the triangle when theta is 45 degrees: \[\large Area=\frac{36}{2}\times(18\times1)=you\ can\ calculate\ \ ft^{2}\]
anonymous
  • anonymous
324
kropot72
  • kropot72
Here is the required calculation for the area of the triangle when theta is 55 degrees: \[\large Area=\frac{36}{2}\times(18\times1.428)=(you\ can\ calculate)\ ft^{2}\]
kropot72
  • kropot72
Your result for the area when theta is 45 degrees is correct, except you need to add the units after the number.
anonymous
  • anonymous
462.672
kropot72
  • kropot72
Correct. But you need to put 462.672 sq. ft.
anonymous
  • anonymous
So the answers are 324sq.ft and the other is 462.672sq.ft
kropot72
  • kropot72
Yes, those are the correct areas for part C. Can you please post your results for part A and part B.
anonymous
  • anonymous
how do i change the height for the degree and the theta
kropot72
  • kropot72
You already used a calculator to find the values of tan 45 degrees and tan 55 degrees. So the height of the triangle when theta is 45 degrees is: h = 18 * 1 = ? And the height when theta is 55 degrees is: h = 18 * 1.428 = ?
anonymous
  • anonymous
18ft and 25.7ft
anonymous
  • anonymous
Thank you so much! I gave you a medal! I really appreciate it because I really needed the help!
kropot72
  • kropot72
Correct.
kropot72
  • kropot72
You're welcome :)

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