65.2k views
0 votes
a straight road to the top of a mountain is 25525 feet long and makes a 44 degree angle of elevation from sea level. determine the hight of the mountain.

1 Answer

3 votes

Answer: 17,731.15 feet.


Explanation:

1. You know that the straight road to the top of a mountain is 25,525 feet long and makes an angle of elevation of 44 degrees from sea level.

2. Therefore, you can draw a right triangle like the is shown in the figure attached, where h is the height and the angle α is the angle of elevation of 44 degrees from sea level.

3. You can calculate the height h as following:


sin\alpha=(opposite)/(hypotenuse)\\


\alpha=44°


opposite=h\\hypotenuse=25,525

4. Solve for h. Then, you obtain the following result:


h=25,525*sin(44)\\h=17,731.15

a straight road to the top of a mountain is 25525 feet long and makes a 44 degree-example-1
User Naro
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories