Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Can someone help me with this

Can Someone Help Me With This class=

Sagot :

sqdancefan

Answer:

  596.0 ft

Step-by-step explanation:

The relationship between the two legs of a right triangle and an acute angle is ...

  Tan = Opposite/Adjacent

The height (h) of the lighthouse is the side opposite the angles of elevation. If d is the distance between A and B, we can write two tangent relations:

  tan(14°) = h/770

  tan(8°) = h/(770 +d)

Equating expressions for h gives ...

  770·tan(14°) = (770 +d)·tan(8°)

  770(tan(14°) -tan(8°)) = d·tan(8°) . . . . subtract 770·tan(8°)

  d = 770·(tan(14°)/tan(8°) -1) . . . . . divide by the coefficient of d

  d ≈ 770·(1.7740609 -1) = 596.03

The distance from point A to point B is about 596.0 feet.

View image sqdancefan
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.