Answered

Ang Imhr.ca ay ang pinakamahusay na lugar upang makakuha ng maaasahang mga sagot sa lahat ng iyong mga tanong. Kumonekta sa mga propesyonal sa aming platform upang makatanggap ng eksaktong sagot sa iyong mga tanong nang mabilis at mahusay. Maranasan ang kaginhawaan ng paghahanap ng eksaktong sagot sa iyong mga tanong mula sa mga bihasang propesyonal sa aming platform.

A sailor sights both the bottom and top of a lighthouse that is 20m high and stands on the wedge of a cliff. The two angles of elevation are 35 degrees and 42 degrees. To the nearest meter, how far is the boat from the cliff?

Sagot :

use tangent to solve this problem

let d the distance of the boat

first let solve the x for the height of 35 degrees elevation
and in terms it in d
tan35 = x/d
x = dtan35

then for the 42 degree
and the opp of this situation is the sum of the height of the lighthouse plus x, and we have the value of x
so the equation become
tan42 = (20 + dtan35) /d
solving more by algebra
you will get
d = 99.9 m far the boat from the cliff