Chrome File Edit View History Bookmarks People WindowHelp 5 Maan Knowledge Check

Question

Chrome File Edit View History Bookmarks People WindowHelp 5 Maan Knowledge Check Question 12 Maan- Español A lighthouse sits at the edge of a cliff, as shown. A ship at sea level is 610 meters from the base of the cliff. The angle of elevation from sea level to the base of the lighthouse is 55.1°. The angle of elevation from sea level to the top of the lighthouse is 56.5°. Find the height of the lighthouse from the top of the cliff Do not round any intermediate computations. Round your answer to the nearest tenth Note that the figure below is not drawn to scale. 56.5 55.1° 610 meters I Don't Know Submit

Explanation / Answer

let height of cliff = h meters

height of light house = x meters

applying tan rule on smaller triangle

tan 55.1 = h/610

h = 874.41

applying tan rule on bigger triangle

tan 56.5 = ( h + x) / 610

h + x = 921.609

x = 921.609 - 874.41

x = 47.2

height of lighthouse = 47.2 meters

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.