Question

I need the answer ASAP !!! Pls

Answer 1

Given:

The diagram of two right triangles.

To find:

The value of d and a.

Solution:

In a right angle triangle,

`\tan \theta=(Perpendicular)/(Base)`

`\sin \theta=(Perpendicular)/(Hypotenuse)`

(a) In first triangle,

`\tan 60^\circ=(d)/(4)`

`√(3)=(d)/(4)`

`4√(3)=d`

Therefore,
`d=4√(3)`.

(b) In second triangle,

`\sin 45^\circ=(a)/(2)`

`(1)/(√(2))=(a)/(2)`

`(2)/(√(2))=a`

`√(2)=a`

Therefore,
`a=√(2)`.