Question

PS is equal to 3 cm QS is equal to 4 cm angle prq equal to theta angle psq equal to 90 degree PQ is perpendicular to r q and r q is equal to 9 CM evaluate tan theta​

Answer 1

I Hope this is a satisfying Answer !!

Answer 2

Answer:

0.5556

Step-by-step explanation:

This is a question on pythagoras theorem.

Given a ,b and c as the sides of a right angled triangle by pythogras theorem the three sides relate as follows:

a² + b² = c²

We need to get the length of PQ which is the height of triangle PQR.

By pythagoras theorem we have :

PQ = √(3² + 4²) = 5 cm

Tan Ф = Opposite/ adjacent

Opposite = 5 cm

Adjacent = 9 cm

Tan Ф = 5/9

= 0.5556

The Tan of theta is hence equals to 0.5556 to four significant figures.