Answer:
I
Step-by-step explanation:
sinθ and cosθ and tanθ are all positive in quadrant 1,
since a positive value is divided by a positive value
there is no positive sinθ and cosθ in quadrant 3, so only quadrant 1 is the answer
9514 1404 393
Answer:
- A = 90°, C = 40°
- A = 40°, C = 90°
Step-by-step explanation:
In a right triangle one angle is 90° and the other angle is the complement of the acute angle given.
Angles A and C are not specified, but we know the other two angles are 40° and 90°. The values can be assigned two ways:
A = 90°, C = 40°
A = 40°, C = 90°
Answer:
33 ft
Step-by-step explanation:
In a diagram of the geometry, you see that the angle of elevation is opposite the triangle leg representing the tree height, and is adjacent to the triangle leg representing distance from the tree.
The tangent ratio relates these lengths to the angle:
Tan = Opposite/Adjacent
Opposite = Adjacent×Tan
tree height = (47 ft)tan(35°) ≈ 33 ft
The height of the tree is about 33 feet.
A negative number is always less than a positive number, so the only positive number, 5/3, is the greatest number of the three. -5/6 is less than -1/6, so the answer is:
-5/6, -1/6, 5/3
The answer is 1/2 or 0.5.
