The following triangles have angles of 60 degrees and 43 degrees and side f 519m and side g 190m. The lake is on the side of the side g named X. How to solve the length of the lake?

The following triangles have angles of 60 degrees and 43 degrees and side f 519m and side g 190m The lake is on the side of the side g named X How to solve the class=

Respuesta :

The length of the lake as represented in the triangle ABC is 271.3 meters.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Sine rule is used to show the relationship between the sides and angles of a triangle.

∠A + ∠B + ∠C = 180° (angles in a triangle)

60 + 43 + ∠C = 180

∠C = 77°

Using sine rule:

519/sin(77) = BC / sin(60)

BC = 461.3 m

x = 461.3 - 190 = 271.3

The length of the lake as represented in the triangle ABC is 271.3 meters.

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