From the top of a bridge that is 50 m high, two boats can be seen anchored in a marina. one boat is anchored in the direction s20°w, and its angle of depression is 40°. the other boat is anchored in the direction s60°e, and its angle of depression is 30°. determine the distance between the two boat

Explanation:

Given

height of bridge is

First Boat is at an angle of w.r.t to x axis

Second boat is at an angle of w.r.t to x axis

from Diagram

In triangle ABO

In triangle ACO

where and are the distance of boat from origin O

Position vector of boat 1 w.r.t origin is

Position vector of boat 2 w.r.t origin is

Position of

Distance between them is

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50

a sonic boom is a loud boom that breaks the sound barrier

explanation: