Question

Denis, Vera, and Yash are rock climbers. Yash is connected to Vera by a

30 m rope, which is taut, and Vera is connected to Denis by a 25 m rope, which is also taunt.

Yash has already completed the climb, and he takes out a camera to take a picture of his friends.

If Denis sees an angle of 41 degrees between Vera and Yash, what field of view would Yash's camera need to fit both of his friends in the same shot?

Answer 1

The correct answer for khan Academy is also 33.14

Explanation:

Answer 2

`33.14\°`

Explanation:

Let

Y ----> field of vision that Yash's camera would need

we know that

Applying the law of sines

`(sin(Y))/(25)=(sin(41\°))/(30)`

Solve for sin(Y)

`sin(Y)=(sin(41\°))/(30)(25)`

`Y=sin^(-1)[(sin(41\°))/(30)(25)]`

`Y=33.14\°`