Hailey is scuba diving in the ocean. Her boat is anchored 300 feet away at a 30° angle of depression. If her diving partner is 25 feet directly below her, how far is Hailey's diving partner from the boat? (round to nearest whole number)

A) 300 ft

B) 313 ft

C) 325 ft

D) 326 ft

B)313 ft

Step-by-step explanation:

Hello,I think I can help you with this

to solve this you need to find all the measures of the rigth triangle formed by Hailey, the boat, and the point on the surface of the sea just above the head of Hailey

Step 1

define

triangle

Hypotenuse=300 feet

opposite side=y

adjacent side=x

angle of depression =30°

Step 2

find the distances

so,  the point on the surface of the sea just above hailey is 259.8076 ft from the boat

hailey is at a depth of 150 feet

Step 3

now,her partner is 25 feet directly below her,it is

partner's depth is =hailey is at a depth of 150 feet+25

Y=175

he is at the same distance from de boat ( horizontal),because it is the same point in the sea surface.

X=259.80

Step 4

to find  the distance between the partner and the boat we can use  

Pythagoras theorem

so, Hailey's diving partner is 313 ft away from the boat(B)

Have a great day.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.