Apirate sits in a crows nest at the top of his ship. he spots land at an angle of depression of 19°. if the pirate is 24 feet above sea level, how far away is the ship from land?

69.7 feet.

Step-by-step explanation:

See the diagram attached to this answer.

Let us assume that B is the top point of the ship from where the angle of depression of the land at C is 19°.

So, ABC forms a right triangle where ∠ C is 19° and side AB = 24 feet and we have to find AC.

Now, {Where x is the measure of AC i.e. distance from ship to land}

⇒ feet. (Answer)

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%