Respuesta :

musiclover10045

Using the law of Tangents:

Tan(angle) = Opposite leg / Adjacent leg.

Using the provided information:

Tangent (61) = BC / 5.7

Solve for BC:

BC = 5.7 x tangent(61)

BC = 10.3 miles ( rounded to the nearest tenth).

varshamittal029

The distance from point B to point C is 10.3 mi (to the nearest tenth).

What is the trigonometric ratio formula for tan function ?

If we have a right angle triangle,

Then, tanθ = Opposite side/ Adjacent side

What is the required distance ?

Here in the right angle triangle ABC,

Adjacent side = AB = 5.7 mi

θ = 61°

We have to find the BC.

∴  tanθ = Opposite side/ Adjacent side

⇒ tanθ = BC/AB

⇒ tan61°= BC/5.7

⇒ BC = 5.7×tan61°

⇒ BC = 10.283 = 10.3 (to the nearest tenth)

Learn more about measuring distance here :

https://brainly.com/question/11208407

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