Trigonometry Triangles

label Mathematics
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

1.       A mountain is due north and the peak is 20° above the horizon (the angle between a level line drawn straight north and a line drawn to point at the peak is 20°). You walk 1000 feet due east and the mountain is now 10° west of north (you have to rotate 10° counterclockwise from facing north to be facing the peak). How tall is the mountain? Note that the ground is level as you walk east and we are assuming the earth is flat.

Sep 23rd, 2015

Hello!

Denote the initial horizontal distance to the mountain as x and its height as h. Then

h/x = tan(20°) or h=x*tan(20°).

From the horizontal movement

1000ft/x = tan(10°) or x=1000ft/tan(10°).

The final formula is

h=1000ft * tan(20°)/tan(10°).

Use calculator and obtain

h = approx 2064ft.

Please ask if something is unclear.
Sep 23rd, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Sep 23rd, 2015
...
Sep 23rd, 2015
Oct 23rd, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer