Question

To find the distance from point A on the shore to point B on an island in the lake, surveyors

Answer 1

Answer:

$AB=148.76\ m$

Step-by-step explanation:

The complete question in the attached figure

we know that

The triangle PAB is a right triangle because the sum of ∠APB and ∠PAB is equal to 90 degrees

so

In the right triangle PAB

$sin(\angle APB)=\frac{AB}{AP}$ ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(25^o)=\frac{AB}{352}$

solve for AB

$AB=sin(25^o)(352)=148.76\ m$