Question

Help with these questions, it’s Trigonometry Right Triangles

Answer 1

(5).
`\theta=36.86^(\circ)` (6) H = 25 units

Explanation:

Given that,

Height of triangle, H = 15

Base, B = 20

(5)

We need to find the value of tanA.

`\tan A=(P)/(B)\\\\\tan A=(15)/(20)\\\\A=\tan^(-1)((15)/(20))\\\\A=36.86^(\circ)`

(6)

For a right angled triangle, Pythagoras theorem will be applicable as follows :

`H^2=B^2+h^2\\\\H^2=20^2+15^2\\\\H=\sqrt{20^(2)+15^(2)}\\\\H=25\ \text{units}`

Hence, this is the required solution.