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The notation type attribute is somewhat rare. One use for notation would be to de ne a helper application or plug-in to accommodate the datatype speci ed in the notation declaration. For example, if an image datatype requires a special image viewer, then we can state the location of the application, as well as any other parameters. An example of this is <!ELEMENT map EMPTY> <!ATTLIST map image ENTITY #REQUIRED> <!ENTITY map1.png SYSTEM "http://www.anysite.net/map1.png" NDATA png> <!NOTATION png SYSTEM "file:///C:/Program Files/mapviewer.exe"> or more commonly <!NOTATION GIF89A SYSTEM "GIF"> When the browser or other software encounters the element <map image= "map1.png"/>, these facts are known: The browser knows that image is a valid attribute. If the attribute value is map1.png, the le is found at www.anysite.net/ map1.png. They are binary data of type png. Binary data of type png is handled by the program mapviewer.exe on the C drive in the Program Files directory.



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Using both an angle of elevation and an angle of depression Standing at the top of a lighthouse 200 ft high, a lighthouse keeper sighted both an airplane and a ship directly beneath the plane. The angle of elevation of the plane measured 25 ; the angle of depression of the ship measured 32 . Find (a) the distance d of the boat from the foot of the lighthouse, to the nearest 10 ft; (b) the height of the plane above the water, to the nearest 10 ft.

Fig. 8-9

Using two angles of depression An observer on the top of a hill 250 ft above the level of a lake sighted two boats directly in line. Find, to the nearest foot, the distance between the boats if the angles of depression noted by the observer measured 11 and 16 .





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The book value per share of stock is obtained by dividing the stockhold ers equity amount by the number of shares outstanding. It thus represents the amount that would be distributed to each share of stock if the corpo ration were to be dissolved. Individual book values for common and preferred stock are de ned by separating the stockholders equity amount into two parts and dividing each part by the corresponding number of shares. All premiums and dis counts, as well as retained earnings or de cits, go to common stock only.

In nAB C of Fig. 8-10, m B AC In nABC, m BAC Hence, BB 90 16 90 11 74 . Then CB 79. Then CB 250 tan 74 . 250(5.1446 3.4874) 414 ft. 250 tan 79 .

250(tan 79 tan 74 )

Fig. 8-10

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8.1. Using the table of trigonometric functions at the end of the book, find (a) sin 25 , sin 48 , sin 59 , and sin 89 (b) cos 15 , cos 52 , cos 74 , and cos 88 (c) tan 4 , tan 34 , tan 55 , and tan 87 (d) which trigonometric ratios increase as the measure of the angle increases from 0 to 90 (e) which trigonometric ratio decreases as the measure of the angle increases from 0 to 90 (f) which trigonometric ratio has values greater than 1 8.2. Using the table at the end of the book, find the angle for which (a) sin x (b) sin A 8.3. 0.3420 0.4848 (c) sin B (d) cos A 0.9455 0.9336 (e) cos y (f) cos Q 0.7071 0.3584 (g) tan W (h) tan B 0.3443 2.3559 (8.2) 3 8 23 2 2 7 23 10 (8.3) (8.1) (8.1)

Using the table at the end of the book, find the measure of x to the nearest degree if (a) sin x (b) sin x (c) sin x (d) cos x 0.4400 0.7280 0.9365 0.9900 (e) cos x (f) cos x (g) tan x (h) tan x 0.7650 0.2675 0.1245 0.5200 (i) tan x (j) sin x (k) sin x (l) cos x 5.5745 11 50 22 2 13 25 (m) cos x (n) cos x (o) tan x (p) tan x

Fig. 8-11

Find m A to the nearest degree in each part of Fig. 8-12.

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