8. A traveler approaches a mountain on highway. He measures the ang
the peak at each milestone. At two consecutive milestones the ang
4º and 8º. What is the height of the peak if the distance bety
milestones is 1 mile. (tan 4° = 0.0699, tan 8° = 0.1405)
Answers
height of the peak = 0.1391 miles if Distance between ang 4º and 8º is 1 Mile
Step-by-step explanation:
Let say Mountain Height = M Miles
and Initial Distance of traveler from base of mountain = B Miles
Tan 4° = M/B
=> M = 0.0699B
Distance of traveler from base of mountain after 1 mile = B - 1 Miles
=> Tan 8° = M/(B-1)
=> M = (B - 1) 0.1405
Equating both
0.0699B = (B - 1) 0.1405
=> 0.1405 = 0.0706B
=> B = 1.99
M = 0.0699B
=> M = 0.0699 * 1.99
=> M = 0.1391 miles
height of the peak = 0.1391 miles
Learn More:
Find the height of the chimney, when it is found that on walking ...
https://brainly.in/question/13216894
angle of elevation of its top changes from 30° to 60°
https://brainly.in/question/8473526
The angle of elevation of the top of a tower at any point A
https://brainly.in/question/11492155
The angle of elevation of top of a pole
https://brainly.in/question/11520026