Question

Kristin is swimming in the ocean and notices a coral reef below her. The angle of depression is 35∘ and the depth of the ocean, at that point is 250 feet. How far away is she from the reef? Round your answer to the nearest tenth of a foot if necessary.

Answer 1

Answer

435.86

Step-by-step explanation:

angle of depression=angle of elevation=35 degrees

point from below ocean=90 degrees so the remaining angle is 55 degrees to form 180 degrees.

using sine rule a/sine A=b/sine B=c/sine C we have

250ft/sin 35=c/sin90

which gives c distance as 435.86 rounded off to the nearest tenth

Answer 2

Answer:435.86

Step-by-step explanationTo calculate the value of  or distance between kristin and the reef,  we have to find out hypotenuse of the triangle.

The angle of depression is 35 and the opposite side is 250ft . the hypotenuse be x

So we calculate it with trignometry

we know that Sin Ф  = opposite / hypotenuse

So, sin 35 °= 250 /x

By linear equation , we can solve it

x = 250 / sin 35°

x = 250/ 0.573576

x = 435.86

so the distance between the kristin and the reef is 435.86ft