# help!! illustrate and solve the problem presented below. show your complete solution.?

illustrate and solve the problem presented below. show your complete solution.

1. from two point P and Q that are 140ft apart, the lines of sight to a flagpole across a river makes angles 79° and 58° respectively, with the lines joining P and Q. what are the distances from P and Q to the flagpole?

Relevance
• Sepia
Lv 7
6 years ago

From two points P and Q that are 140 ft apart,

the lines of sight to a flagpole across a river makes angles 79° and 58° respectively,

with the lines joining P and Q.

what are the distances from P and Q to the flagpole?

Taking the flagpole as point F,

we have to solve for triangle FPQ to get the values of PF and QF.

The distances from P and Q to the flagpole are

201.50753 and 174.08653 feet.

• Robert
Lv 7
6 years ago

Draw a triangle, PFQ.

We know angle FPQ = 79°, and angle FQP = 58°

Then angle PFQ = 43°

Now just use the law of sines to find FP and FQ.

For instance, to find FQ, solve 140 / sin 43 = FQ / sin 79