The length of the hypotenuse is 5.83 inches long so between 5 and 6 inches
Answer: OPTION C.
Step-by-step explanation:
Observe the triangle ABC attached.
Notice that the angle of depression is represented with
.
Knowing that the top of a lighthouse is 260 feet above water and the ship is 270 feet offshore, you can find the value of
by using arctangent:

In this case you can identify that:

Therefore, substuting values into
, you get that the angle of depression is:

D. works because if you work it out that means 2n=140 and then divide by 2 which means n=70 and the other number is 71

Solution:
Given expression is
.
To simplify the expression 
Let us first convert the mixed fraction into improper fraction.



Take LCM for the denominators (LCM of 4, 8 = 8) and make the same.



Now, divide 51 by 8 and again write it in the mixed fraction.


Hence, the simplified answer is
.