Question

Denis, Vera, and Yash are rock climbers. Yash is connected to Vera by a 30\,\text{m}30m30, start text, m, end text rope, which is taut, and Vera is connected to Denis by a 25\,\text{m}25m25, start text, m, end text rope, which is also taut.
Yash has already completed the climb, and he takes out a camera to take a picture of his friends. Denis sees an angle of 41\degree41°41, degree between Vera and Yash, as shown.

Answer 1

Answer:

33.14\°

Step-by-step explanation:

Let

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

we know that

Applying the law of sines

\frac{sin(Y)}{25}=\frac{sin(41\°)}{30}

25

sin(Y)

=

30

sin(41\°)

Solve for sin(Y)

sin(Y)=\frac{sin(41\°)}{30}(25)sin(Y)=

30

sin(41\°)

(25)

Y=sin^{-1}[\frac{sin(41\°)}{30}(25)]Y=sin

−1

[

30

sin(41\°)

(25)]

Y=33.14\°Y=33.14\°