Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A 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 hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.