77° is the answer to your question
1. PQR and is a right triangle, so you can calculate the measure of PQ by applying the Pythagorean Theorem. PR is the hypotenuse and QR and PQ are the legs:

2. PQS and is a right triangle too, so you can calculate the measure of PS by applying the Pythagorean Theorem as above. PS is the hypotenuse and PQ and QS are the legs:

Therefore, the answer is: The value of PS is 13.
Answer:
q = 42
Step-by-step explanation:

Hope this helps.
Answer:
(A) 30772cm^2/s
(B) 153860cm^2/s
(C) 184632 cm^2/s
Step-by-step explanation:
We are given
speed of the ripple = 70cm/s
this speed is increasing the radius which means speed = radius /time
radius = speed*time
r= 70t
Now we know the area of the circle
A = π
this area will be increasing as ripples in water will spread out
upon differentiating
dA/dt = 2πr * 
dA/dt = 2π*70t*70 ( r= 70t , dr/dt = speed = 70)
dA/dt = 9800π*t
(A) after 1 second
dA/dt = 9800π*1=9800π = 30772cm^2/s
(B) after 5 seconds
dA/dt = 9800π*5 = 153860cm^2/s
(C) after 6 seconds
dA/dt = 9800π*6 = 184632 cm^2/s