round to the nearest foot a) Find the distance of the plane from point A mi ) Fi

Question

round to the nearest foot a) Find the distance of the plane from point A mi ) Find the elevation of the plane. mi Need Help? LPht Abeot points SAig Trig3 65 035 To find the distance across a river, a surveyor chooses points A and B, which are x - 250 ft apart on one side of the river (see the figure). oximate the distance from A to C. (Round your answer to the nearest foot.) ft 82 Points A and are separated by a lake. To find the distance betwear, thern, a suneyor iecatas a poire C on and such that ccar-

Explanation / Answer

we know that sum of angles of a triangle=180 degree
so,

angle C = 180 - ( 82+52) = 46 degrees
x = 250 ft is given to us

so, let us apply sine law here
x/sinC=AC/sinB
250/sin46=AC/sin52
sin52=.7880
sin46=.7193
so,
250/.7193 =AC/.7880
AC=250*.7880/.7193
AC = 273.87 Feet

Hence, distance from A to C = 274 feet (approx)

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