Question

if the given figure if PS = 14 cm find the value of tan alpha​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The value of tan ∝ is 4/3

Step-by-step explanation:

here ,

PR = 13 cm

QR = 5 cm = TP

PS = 14 cm

ST = PS - TP

ST = 14-5 = 9 cm

in triangle PQR

using pythagoras theorem

PR² = PQ²+ QR²

13² = PQ² + 5²

PQ² = 169-25

PQ² = 144

PQ = 12 cm

now , PQ = TR = 12 cm

therefore , in triangle TSR

perpendicular  TR  = 12 cm

base  ST = 9 cm

$\tan\alpha = \frac{perpendicular}{base}$

$\tan\alpha = \frac{12}{9} = \frac{4}{3}$

hence , The value of tan ∝ is 4/3

#Learn more:

In the given figure, POll

SR and PS lIRQ. Find the value of x​

https://brainly.in/question/14986822