Problem: A woman wishing to know the height of a mountain measures the angle of elevation of the mountaintop as 12.0°. After walking 1.00 km closer to the mountain on level ground she finds the angle to be 14.0°. (a) Draw a picture of the problem neglecting the height of the woman's eyes above the ground. Hint: Use two triangles. (b) Using the symbol y to represent the mountain height and the symbol x to represent the woman's original distance from the mountain label the picture. (c) Using the labeled picture write two trigonometric equations relating the two selected variables. (d) Find the height y.

🤓 Based on our data, we think this question is relevant for Professor Lukic-Zrnic's class at UNT.

FREE Expert Solution
Problem Details

A woman wishing to know the height of a mountain measures the angle of elevation of the mountaintop as 12.0°. After walking 1.00 km closer to the mountain on level ground she finds the angle to be 14.0°. (a) Draw a picture of the problem neglecting the height of the woman's eyes above the ground. Hint: Use two triangles. (b) Using the symbol y to represent the mountain height and the symbol x to represent the woman's original distance from the mountain label the picture. (c) Using the labeled picture write two trigonometric equations relating the two selected variables. (d) Find the height y.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Geometry & Trigonometry concept. If you need more Geometry & Trigonometry practice, you can also practice Geometry & Trigonometry practice problems.

How long does this problem take to solve?

Our expert Physics tutor, Julia took 6 minutes and 10 seconds to solve this problem. You can follow their steps in the video explanation above.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Lukic-Zrnic's class at UNT.