195k views
3 votes
Find the missing side. Round to

the nearest tenth.
10
33°
х
x = [ ?
]

Find the missing side. Round to the nearest tenth. 10 33° х x = [ ? ]-example-1
User Jamie S
by
3.4k points

1 Answer

2 votes

Answer:

x = 15.4

Explanation:

Reference angle = 33°

Opposite side reference angle = 10

Adjacent side = x

Therefore, we would apply the trigonometric function, TOA.

Thus:

Tan 33° = Opposite/Adjacent

Tan 33° = 10/x

Multiply both sides by x

x*Tan 33° = 10

Divide both sides by Tan 33°

x = 10/Tan 33°

x = 15.3986496

x = 15.4 (nearest tenth)

User Peter Cotton
by
4.0k points