Answer:
6-4
Step-by-step explanation:
3
Which graph represents x> 5?
1 answer:
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Answer:
Explained below.
Step-by-step explanation:
Complementary angles are angles that sum up to 90°.
Here,
- Angle P = 2x
- Angle Q = 7x
Then,
Angle P + Angle Q = 90°
2x + 7x = 90°
9x = 90°
x = 90/9
x = 10°
Therefore,
- Measurement of Angle P = 2x = 2*10 = 20°
- Measurement of Angle Q = 7x = 7*10 = 70°
Answer: the distance of the boat from the foot of the lighthouse is 290.5 feet.
Step-by-step explanation:
The right angle triangle ABC representing the scenario is shown in the attached photo.
Angle A is alternate to the angle of depression, hence, they are the same.
The height of the lighthouse represents the opposite side of the right angle triangle. The distance, x of the boat from the foot of the lighthouse represents the adjacent side of the right angle triangle.
To determine x, we would apply
the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 11.1 = 57/x
x = 57/Tan 11.1 = 57/0.1962
x = 290.5 feet to the nearest tenth.
