Question

plzz solve this with full steps​

Answer 1

Answer:

(b) 4/3

Step-by-step explanation:

Given: PS = 14; PR = 13; RQ = 5

RQ = PT = 5

ST = PS-PT= 14-5 = 9

Applying PYTHAGORAS THEOREM in triangle PQR

PQ = 12

now, RT = PQ = 12

tan (theta) = perpendicular/base = RT/ST = 12/9 = 4/3

Answer 2

PQ^2 + QR^2 = PR^2

PQ^2=PR^2-QR^2

PQ=✓13^2-5^2

PQ=✓169-25

PQ=✓144

PQ=12cm

TR=PQ

TR=12 cm

PS=PT+TS

TS=PS-PT

TS=14-5

TS=9

tan theta = TR/TS = 12/9 =4/3

So your answer is 4/3

hope it helps you ✨✨✨✨