Question

Solve for x. Round to the nearest hundredth.

Answer 1

Solve for a and round to the nearest hundredth:

a ≈ 5.81.

Explanation:

OMM THIS ANSWER IS RIGHT

Answer 2

Answer:
`32.98^(\circ)`

Explanation:

Since, By the given diagram,

In quadrilateral ABCD, all angles are right angles ⇒ DC = AB = 15 cm and CB = DA

Also, In triangle DFA,

`sin 56^(\circ) = (DA)/(DF)`

⇒
`sin 56^(\circ) = (DA)/(16)`

⇒
`16* sin 56^(\circ)=DA`

⇒
`13.2646011609\text{ cm} = DA`

Now, In triangle, DEC,

`tan x = (EC)/(DC)`

⇒
`tan x = (EB-CB)/(DC)`

⇒
`tan x = (EB-DA)/(DC)`

⇒
`tan x = (23-13.2646011609)/(15)`

⇒
`tanx = (9.73539883912)/(15)`

⇒
`tanx = 0.64902658927`

⇒
`x = 32.9846428556^(\circ) \approx 32.98^(\circ)`