Can you show me with no calculator way please ### Calculating the Angle of Elevation**Problem Statement:**You are skiing down a mountain with a vertical height of 1245 feet. The distance from the top of the mountain to the base of the mountain is 2490 feet. What is the angle of elevation from the base to the top of the mountain? Express your answer as a whole angle.**Solution:**To solve this problem, we need to calculate the angle of elevation, which is the angle formed between the horizontal ground at the base and the line of sight to the top of the mountain.The angle of elevation can be found using trigonometric functions, particularly the sine function in this case since the vertical height (opposite side) and the hypotenuse are given. However, using tangent might be more straightforward since:\[\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}\]Here, the 'opposite' side is the vertical height of the mountain (1245 feet), and the 'adjacent' side is the distance from the base of the mountain to the top (2490 feet).\[\tan(\theta) = \frac{1245}{2490}\]We can calculate \(\theta\) by taking the arctan (inverse tangent) of both sides:\[\theta = \arctan\left(\frac{1245}{2490}\right)\]Calculating the value using a calculator:\[\theta \approx \arctan(0.5)\]This simplifies to approximately:\[\theta \approx 26.57^\circ\]Rounding to the nearest whole number, the angle of elevation is:**Answer:**\[ 27 \, \text{degrees} \]**Note:**The above problem can be visualized using a right-angled triangle, where the height of the mountain forms the perpendicular side (opposite), the diagonal path from the base to the top of the mountain forms the hypotenuse, and the horizontal ground forms the base (adjacent).**Interactive Element**: - Try calculating the angle of elevation using different values of vertical height and distance to enhance your understanding of trigonometric functions.- Visualize the right-angled triangle using an interactive graph tool for a better grasp of the trigonometric ratios involved. Please enter the calculated angle of elevation in the box:

From the trigonometric ratios we know that Sinθ=HeightHypotenus

You are skiing down a mountain with a vertical height of 1245 feet. The distance from the top of the mountain to the base of the mountain is 2490 feet. What is the angle of elevation from the base to the top of the mountain? Express your answer as a whole angle. degrees

You are skiing down a mountain with a vertical height of 1245 feet. The distance from the top of the mountain to the base of the mountain is 2490 feet. What is the angle of elevation from the base to the top of the mountain? Express your answer as a whole angle. degrees

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Similar questions

Can you explain further more from line 9 to the end please
I asked for help in this one already but it was wrong
Can i get help with this problem step by step?
Dear tutor, please help me solve this calculas question
Can you help me with Practice Problem, Thank you.
As I was driving along the highway to Cleveland, I noticed a speedometer check along the side of the road with posted signs 1 mile apart. I timed us and found that it took us 5 minutes and 45 seconds to travel 5 miles. We had the car set on cruise control, so we were traveling at a constant speed. A while later we passed a sign that said “Akron 76 miles.” At that speed, how long did it take us to drive those 76 miles to Akron? (Convert your decimal answer to an equivalent number of hours, minutes, and seconds. For example, 7.104 hours = 7 hours 6 minutes 14 seconds.)
Can you help me with Practice Problem, Thank you.
please solve this with clear text, as the last solution was not clear, also with full detail as well
Can you help me with Practice Problem, Thank you.