Elements of Plane And Spherical Trigonometry : With Practical Applications

Cover Elements of Plane And Spherical Trigonometry : With Practical Applications
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A Vertical Angle is one the plane of whose sides is vertical.
An Angle of Elevation is a verti- jj B cal angle having one side horizontal and the inchned side above it ; as the angle GAB.
An Angle op Depression is a verti- cal angle having one side horizontal and the inclined side under it ; as the angle a" DBA.
133. To determine the height of a vertical object standing on d horizontal plane.
Let B be the top of the object, and let it be required to find its height B G.
6* X i G2 TEIGONOMETSY.
...Measure from the foot of the object, in the horizontal plane, any convenient dis- tance, as ^ C, as a base line, and at A observe the angle of elevation GAB.
Then, in the right-angled triangle ABC, we have known the side A C and the acute angle A ; therefore we can deter- mine the height B G hj Art. 121.
EXAMPLES.
1. Standing on the edge of a moat 40 feet wide, I observe that the wall of a fort upon the opposite brink subtends an angle at the point of observation of 36° 52' 12"; required the height of the wall.


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