Can someone pls helpppp ASAP this is due in 25 min :(

For the right triangles below, find the values of the side lengths d and a.
Round your answers to the nearest tenth.

Can someone pls helpppp ASAP this is due in 25 min For the right triangles below find the values of the side lengths d and a Round your answers to the nearest t class=

Respuesta :

Answer:

a = 1.4 and d = 6.9

Step-by-step explanation:

To get the value of d and a, we will use the SOH CAH TOA identity

For the first tringle;

Opposite = d ((opposite angle 60 degrees)

Adjacent = 4

Tan theta = opp/adj

Tan 60 = d/4

d  = 4tan60

d = 4(1.732)

d = 6.9

For the second triangle;

Opposite = a

Hypotenuse = 2

Since sin theta = opp/hyp

Sin45 = a/2

a = 2sin45

a = 2(0.7071)

a = 1.4

Hence a = 1.4 and d = 6.9