Elementary Trigonometry |
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Page 48
... base of the object being accessible . Let PQ be a vertical column . From the base P measure a horizontal line AP . Then observe the angle of elevation QAP . A P We can then determine the height of the column , for QP - AP . tan QAP . 81 ...
... base of the object being accessible . Let PQ be a vertical column . From the base P measure a horizontal line AP . Then observe the angle of elevation QAP . A P We can then determine the height of the column , for QP - AP . tan QAP . 81 ...
Page 49
... base of the tower measure a horizontal line AP . Observe the angles RAP and QAP . Then we can find the length of RQ , for RQ = RP - QP = AP . tan RAP - AP , tan QAP . 83. To find the altitude of the Sun. The altitude of the Sun is ...
... base of the tower measure a horizontal line AP . Observe the angles RAP and QAP . Then we can find the length of RQ , for RQ = RP - QP = AP . tan RAP - AP , tan QAP . 83. To find the altitude of the Sun. The altitude of the Sun is ...
Page 50
... base the angle of elevation of its summit is found to be 60 ° : what is the height of the tower ? ( 2 ) What is the height of a tower whose top appears at an elevation of 30 ° to an observer 140 feet from the foot of the tower on a ...
... base the angle of elevation of its summit is found to be 60 ° : what is the height of the tower ? ( 2 ) What is the height of a tower whose top appears at an elevation of 30 ° to an observer 140 feet from the foot of the tower on a ...
Page 51
... base . The angles of depression are found to be 45 ° and 30 ° . Find the height , of the hill . ( 7 ) A flag - staff stands on a tower . I measure from the bot- tom of the tower a distance of 100 feet . I then find that the top of the ...
... base . The angles of depression are found to be 45 ° and 30 ° . Find the height , of the hill . ( 7 ) A flag - staff stands on a tower . I measure from the bot- tom of the tower a distance of 100 feet . I then find that the top of the ...
Page 111
... base is zero . Since a = a ' , the logarithm of the base of any system is unity . 139. We now proceed to describe that which is called the Common System of logarithms . The base of the system is 10 . By a system of logarithms to the ...
... base is zero . Since a = a ' , the logarithm of the base of any system is unity . 139. We now proceed to describe that which is called the Common System of logarithms . The base of the system is 10 . By a system of logarithms to the ...
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Common terms and phrases
angle AOP angle be expressed angle EQP angle whose circular Arithmetical Progression Cambridge centre circle circular measure circumference College List convert the measure cos² cos³ cosec cosine Crown 8vo Edition equal expressed in degrees feet find the angle find the number following angles formula given angle contain Given find Given log Greek Isocrates John Edwin Sandys John Henry Blunt Let the given logarithm magnitude minutes and seconds multiply the measure negative number of degrees number of grades Pall Mall QP revolves radius regular polygon right angles right-angled triangle School and College Sexagesimal shew sides sin² sin³ sine subtends an angle tan² tan³ tangent Thomas Kerchever Arnold Thucydides triangle ABC Trigonometrical Ratios Trinity College unit of angular unit of circular Waterloo Place π π
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