HOMEWORK $1$

Crew $08$

See Appendix B $($pg$.502)$ in Text book for help with Trigonometric identities. See below on how to convert between minutes and seconds and decimal degrees.

Based on the Right Triangle as shown to the right solve for the following: $(2$

a$.$ Solve for b; knowns

$B=52\mathrm{.}00$

b$.$ Solve for c; knowns $a=237\mathrm{.}00ft.$

$b=273\mathrm{.}00ft.$

c$.$ Solve for B; knowns

$a=122\mathrm{.}00ft.$

d$.$ Solve for $a$; knowns $,B=53\mathrm{.}00,b=182\mathrm{.}00ft.$

e$.$ Solve for A; knowns $,a=81\mathrm{.}00ft.,b=124\mathrm{.}00ft.$

Based on the Right Triangle as shown above, solve for the following: $($Note: all angles, including solutions are in Degrees, Minutes and Seconds$)(2$

Points each$)$

a$.$ Solve for b; knowns $,c=145\mathrm{.}06ft.,B=45{08}^{\text{'}}{40}^{\text{'}\text{'}}$

b$.$ Solve for c; knowns $,a=290\mathrm{.}04ft.,A=25{16}^{\text{'}}{25}^{\text{'}\text{'}}$

c$.$ Solve for B; knowns c $=454\mathrm{.}62ft.,a=269\mathrm{.}27ft.$

d$.$ Solve for $a$; knowns $,B=36{57}^{\text{'}}{35}^{\text{'}\text{'}},b=137\mathrm{.}51ft.$

e$.$ Solve for A; knowns $,a=230\mathrm{.}28ft.,b=247\mathrm{.}91ft.$

Based on the oblique triangle as shown to the right, solve for the following: $($Note all angles, including solutions are in Degrees, Minutes and Seconds$)(2$ Points each$)$

a$.$ Solve for B; knowns $A=37{47}^{\text{'}}{50}^{\text{'}\text{'}},a=104\mathrm{.}73ft.,b=153\mathrm{.}71ft.$

b$.$ Solve for B; knowns A $=37{47}^{\text{'}}{50}^{\text{'}\text{'}},a=104\mathrm{.}73ft.,c=153\mathrm{.}71ft.$

c$.$ Solve for b; knowns $B=37{47}^{\text{'}}{50}^{\text{'}\text{'}},C=51{04}^{\text{'}}{15}^{\text{'}\text{'}},c=247\mathrm{.}93ft.$

d$.$ Solve for b; knowns $A=37{47}^{\text{'}}{50}^{\text{'}\text{'}},C=51{04}^{\text{'}}{15}^{\text{'}\text{'}},c=247\mathrm{.}93ft.$

e$.$ Solve for A; knowns $a=109\mathrm{.}31ft.,b=169\mathrm{.}80ft.,c=157\mathrm{.}73ft.$

Give a short description of Construction Surveying. Cite two sources that you used. $(5$ Points$)$

Find a model of a Mechanical Total Station on line, list the cost and the features of the instrument, and cite the source for this information. $(5$ Points$)$

Converting to Decimal Degrees Degree $+\frac{\text{M}\text{i}\text{n}\text{u}\text{t}\text{e}\text{s}+\frac{\text{S}\text{e}\text{c}\text{o}\text{n}\text{d}\text{s}}{60}}{60}$

Converting to Minutes and seconds

Take remainder portion of degree and multiply by $60,$ to get minute portion

Take remainder portion of minutes and multiply by $60$ to get seconds portion