This Question 1 pt 20 of 20 8 complete The angle of elevatio

This Question: 1 pt 20 of 20 (8 complete) The angle of elevation from a point on the ground to the top of a pyramid is 21 20 The angle of elevation from a point 193 feet farther back to the top of the pyramid is 16 10 Find the height of the pyramid 1020 193 What is the height of the pyramid? Round to the nearest integer.) n the a

Solution

h/x = tan(21^o20\') => x = h/tan(21^o20\')

and h/(193+x) = tan(16^o10\') => x = (h/tan(16^o10\')) - 193

=>    h/tan(21^o20\') = (h/tan(16^o10\')) - 193

=> h[1/tan(21^o20\') - 1/tan(16^o10\') = -193

=> h(2.560464919 - 3.449511959) = -193

=> h = 217.0863761 ft