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Trig application question

Mathematics
Tutor: None Selected Time limit: 0 Hours

7. A building of height h is observed from two points, P and Q, that are

105.0 m apart as shown. The angles of elevation at Pand Q are 400 and 320, 
respectively. Calculate the height, h, to the nearest tenth of a metre.
P 1050m
Nov 26th, 2014

x/y = tan 400

y = x * cot 400

x/(105-y) =tan 320

105-y =x cot 320

105 = y+x cot 320= xcot 400+x cot 320

 x = 105/(cot 400+cot 320)

x = 105/(cot 400+cot 320)

x = 105 /(1.191754+1.600335)= 105/2.792088

x = 37.60626

Answer; height = 37.6 m 

Nov 26th, 2014

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