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Angle of elevation of top of vertical cliff as seen from boat 120m away is 32degrees. Angle of elevation of top of flagpole at edge of cliff as seen from boat is 37degrees. Find the height of flagpole?
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.
What is the sin of 6 degrees to the nearest hundredth?
0.10
What is the cosine of 55 degrees?
0.5735764264 (nearest 10 decimal places).
Use a calculator to find tan 27 round to the nearest thousandth?
0.510
If A painter leans a 34ft ladder against a building The base of the ladder is 16ft from the building To the nearest foot how high on the building does the ladder reach?
30 feet. And you don't have to round it to the nearest foot. It's exactly 30 feet.
A straight trail with a uniform inclination of 13dgs leads from a lodge at an elevation of 1000 feet to amountain lake at an elevation of 6000 feet what is the length of the trail to the nearest foot?
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
What is the elevation of the town of leadville Colorado to the nearest 1000 ft.?
10000 feet
What is the height of a hill when angles of elevation either side of it are 15.5 degrees and 28.67 degrees on a straight line of 1.5 km?
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.
What is the highest Mount Shasta can be to the nearest foot?
The elevation of Mt. Shasta is listed at 14179 feet.
What is the highest Mount Shasta can be to the nearest foot explain?
The elevation of Mt. Shasta is listed at 14179 feet.
What is the angle of elevation to the nearest degree of the sun if a 54 foot flagpole casts a shadow 74 feet long?
36 degrees
What is the distance from Milwaukee to the nearest volcano?
The nearest active volcano to Milwaukee is Mount Cleveland in Alaska, which is approximately 3,100 miles away in a straight line.
A tree casts a shadow of 23 meters when the angle of elevation of the sun is 23 Find the height of tree to the nearest meter?
Use the tangent ratio: 23*tan(23) = 9.762920773 Answer: 10 meters to the nearest meter
What is 709.7 rounded to?
Well, darling, 709.7 rounded to the nearest whole number is 710. There you have it, sweetie, straight to the point.
What is the measure of the angle of elevation of the ramp to the nearest degree of a 20 ft board by 1ft ramp?
sin-1(1/20) = 3 degrees.
What would do you do if a dog pulls his toenail off?
Bring him straight to the nearest vet. He could get a serious infection.
What On the following topographic map what is the most likely elevation of point A?
To determine the elevation of point A on the topographic map, look for the contour lines closest to that point. The elevation of point A will typically be indicated by the nearest contour line, with the value increasing or decreasing based on the direction of the contour lines. If point A is between two contour lines, estimate its elevation based on its relative position to those lines. Without the specific map, I can't provide an exact elevation, but this method will guide you in finding it.
