Question

if tan theta=20/21 find the value of 29 sin theta upon 5​

Answer 1

The value of  $\frac{\ 29 \sin\theta}{5}$ is "4".

Step-by-step explanation:

We have,

$\tan \theta = \dfrac{20}{21}$

We know that,

$\tan \theta = \dfrac{p}{b}$

∴$h = \sqrt{p^{2} + b^{2}} = \sqrt{20^{2} + 21^{2}}$

= $\sqrt{400 + 441} = \sqrt{841} = 29$

∴ h = 29

Where, P = perpendicular, b = base and hypotenuse

∴ $\sin\theta = \frac{p}{h} = \frac{20}{29}$

∴ $\frac{\ 29 \sin\theta}{5}$

= $\29 \frac{\frac{20}{29}}{5}$

= $\dfrac{20}{5}$

= 4

Hence, the value of  $\frac{\ 29 \sin\theta}{5}$ is "4".