Four chocolate hills, Hills A, B, C, and D have heights 55, 25, 32, and 50 meters. The distances of Hills B, C, and D from Hill A are 1.5, 4, and 8 km respectively. Considering the effect of curvature and refraction of the earth, answer the following questions. Round off the final answers to the nearest hundredths (two decimal places). 1. Compute the height of equal towers on Hill B and Hill D to sight over Hill C with a 5 m clearance
Four chocolate hills, Hills A, B, C, and D have heights 55, 25, 32, and 50 meters. The distances of Hills B, C, and D from Hill A are 1.5, 4, and 8 km respectively. Considering the effect of curvature and refraction of the earth, answer the following questions. Round off the final answers to the nearest hundredths (two decimal places).
1. Compute the height of equal towers on Hill B and Hill D to sight over Hill C with a 5 m clearance.
2. Determine the clearance or obstruction of the line of sight at Hill B if the observer is at Hill A so that Hill C will be visible from Hill A.
3. What is the height of the tower to be built at Hill B so that Hills A, B, and C are intervisible?
4. Determine the clearance or obstruction of the line of sight at Hill C if the observer is at Hill D so that Hill B will be visible from Hill D.
5. Compute the height of the tower at Hill B with a clearance of 3 m at Hill C so that Hill D will be visible from Hill B.
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