Question

Plz answer what is in the screen shot!

Answer 1

(
`√(15)`)/7

Explanation:

Let b be the tird side of the triangle

tanθ= b/c

using the pythagorian theorem we get :

a²+b²= c² ⇒ b²= c²-a²= 8²-7²=15 ⇒b=√15

so: tanθ= √15/7

Answer 2

Tan0 = opposite/adjacent

To find the opposite side you need to use Pythagoras Theorem.

Where

a^2 + b^2 = c^2

Rearrange for b^2 term

c^2 - a^2 = b^2

c=8 a=7

64-49 = 15

B is equal to square root 15 which is equal to length of opposite side.

Since Tan0 = opposite/adjacent

= root 15/7 is the answer