4 + 4 can help. Then add one.
Answer:
0.69473828 radians east of north.
Step-by-step explanation:
Interpreting the information given on a Cartesian plane, the position of the ship will be (1,0) and that of the rock will be (7,5). Connecting the point (1,0) and (7,5) with a line and dropping a perpendicular line from point (7,5) to the x-axis to intersect the x-axis at (7,0), will form a right-triangle with base length 6 units and a height of 5 units.
<u>Finding the base length from points (1,0) and (7,0)</u>
d=√(x₂-x₁)²+(y₂-y₁)²
d=√(7-1)²
d= √6²
d=6 units
<u>Finding the height from points (7,5) and (7,0)</u>
d=√(x₂-x₁)²+(y₂-y₁)²
d=√(7-7)² + (0-5)²
d=√-5²
d=√25
d=5 units
So you now have a right triangle with base length 6 units and height 5 units.
To get the bearing of rock from ship position you apply the formula for tangent of an angle
Tan Ф = length of opposite side/length of adjustment side
TanФ=5/6
Tan Ф =0.83333333333
Tan⁻¹ (0.83333333333) =0.69473828 radians east of north.
It is 15 because it goes into both numbers
Answer: D. x=9√3; y=18
Step-by-step explanation:
This is a 30-60-90 special triangle, where we can use the rules to find the value of x and y. (For specific explanation, please look at the attachment below)
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<u>X value</u>
- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.
- Using the rules, the shortest side is x, then the second short side is x√3
- Substitute value in= x√3=(9)√3=9√3
Y value
- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.
- Using the rules, the shortest side is x, then the longest side is 2x
- Substitute value in= 2x=2(9)=18
Hope this helps!! :)
Please let me know if you have any questions
this pic is of empty set I guess bro