Draw a right triangle. The balloon is at the top of the short side, and the base is the distance from the person's hand along a path parallel to the ground to where the balloon hovers. Since the angle is 35 degrees, we want the length of that short side, and we get it using the sine function of trigonometry. Sine = opposite over hypotenuse, so we can write an equation where "x" is the short side:
x/30 = sin35
x/30 = 0.5736
x = 17.21
Now add to this the 6.5 feet that the person's hand is off the ground, and the balloon is 23.71 feet above the ground.
Using trigonometry and the sine ratio the distance is 959 meters to the nearest meter.
10000 feet
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.
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.
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.
7,990 feet - as measured at Swains Creek UT (the nearest US Weather Service reporting station.)
Length of line: 90/cos(22) = 97 feet rounded to nearest the foot