contestada

An archeologist wants to know the width of a lake, defined by the line segment , near a dig. She measures the distance between two structures, A and B, on one side of the lake, and chooses an old pine tree on the other side. She then measures the angles at A and B. Explain why the archeologist took these measurements.

Respuesta :

okpalawalter8

The archeologist took this measurement to know the value of distance AB

AB=9.610m

What is the length of AB?

Generally, the equation for is  mathematically given as

measure of <ACB=180-(48+81)

                             =180-(129)

                             f <ACB=51

Using sin law in [tex]\triangle ABC[/tex], we have

[tex]\frac{sin 51}{100}=\frac{sin 48}{AB}[/tex]

[tex]AB=\frac{100*sin 48}{sin 51}[/tex]

AB=100*0.74/0.77

AB=9.610m

In conclusion, the length of AB

AB=9.610m

Read more about an archeologist

https://brainly.com/question/1399500

#SPJ1

Otras preguntas