Menu Close

The-angle-of-elevation-of-point-A-and-B-from-P-are-and-respectively-The-bearing-of-A-and-B-from-P-are-S20-W-and-S40-E-and-their-distance-from-P-measured-on-the-map-are-3cm-and-1cm-respetively-




Question Number 5405 by sanusihammed last updated on 14/May/16
The angle of elevation of point A and B from P are α and β   respectively. The bearing of A and B from P are S20°W and  S40°E and their distance from P  measured on the map are  3cm and 1cm respetively. A is higher than B. Prove that the   elevation of A from B is    ((tan^(−1) [3tanα − tanβ])/( (√7) ))    Please help me. i have two questions but i have solved one.  Please help me to solve this. Thanks for your help.
TheangleofelevationofpointAandBfromPareαandβrespectively.ThebearingofAandBfromPareS20°WandS40°EandtheirdistancefromPmeasuredonthemapare3cmand1cmrespetively.AishigherthanB.ProvethattheelevationofAfromBistan1[3tanαtanβ]7Pleasehelpme.ihavetwoquestionsbutihavesolvedone.Pleasehelpmetosolvethis.Thanksforyourhelp.
Commented by Yozzii last updated on 14/May/16
The proof required suggests that, for θ  being the answer of angle of elevation,  tan(θ(√7))=3tanα−tanβ.  Is it possible for you to check the question  again to make sure that is what is  required?  Is it θ=tan^(−1) (((3tanα−tanβ)/( (√7)))) instead?
Theproofrequiredsuggeststhat,forθbeingtheanswerofangleofelevation,tan(θ7)=3tanαtanβ.Isitpossibleforyoutocheckthequestionagaintomakesurethatiswhatisrequired?Isitθ=tan1(3tanαtanβ7)instead?

Leave a Reply

Your email address will not be published. Required fields are marked *