SOHCAHTOA
This would be the sine, the opposite over the hypotenuse.
5000/h=sin 30 degrees
5000 divided by sin 30 degrees= trail
Tangent(theta) is sine over cosine, or y over x. x is 120. Theta is 32 and 37. y1 is height of cliff, and y2 is height of cliff plus flagpole.Tan(32) = y1 / 120, so y1 = 120 tan(32) = 75.Tan(37) = y2 / 120, so y2 = 120 tan(37) = 90.Height of flagpole is y2 - y1 = 90 - 75 = 15.All results rounded to nearest integer.
0.10
0.5735764264 (nearest 10 decimal places).
0.510
30 feet. And you don't have to round it to the nearest foot. It's exactly 30 feet.
22227 feet This is a right triangle with an angle equal to 13 degrees, and the side opposite that angle equal to 5000 ft (6000-1000). We need to find the hypotenuse (which we will call x) of the triangle (i.e., the length of the trail). Because sin(theta)=opposite side/hypotenuse. Therefore we have: sin(13 deg)=5000/x Solving for x: x=5000/sin(13 deg)=22227 [Be sure that you are using degrees rather than radians; otherwise, you will get a wrong answer. If your calculator is using radians and you don't want to change it, you first need to convert 13 degrees to radians by multiplying 13 by (pi/180).] Using radians, you would do the same as above, but the last line would be: x=5000/sin(13*pi/180)=22227
10000 feet
By drawing a sketch from the given information and then using trigonometry the height of the hill works out as 276 meters to the nearest whole meter.
The elevation of Mt. Shasta is listed at 14179 feet.
The elevation of Mt. Shasta is listed at 14179 feet.
36 degrees
Use the tangent ratio: 23*tan(23) = 9.762920773 Answer: 10 meters to the nearest meter
sin-1(1/20) = 3 degrees.
the angle of elevation from L to K measures 55 degrees. If JK=26,find JL. roind to the nearest tenth
Using the sine rules in trigonometry the height of the mountain works out as 3704 meters in height to the nearest whole number.
Bring him straight to the nearest vet. He could get a serious infection.
7,990 feet - as measured at Swains Creek UT (the nearest US Weather Service reporting station.)