9514 1404 393
Answer:
23.2 mi/h at N 7.4° W
Step-by-step explanation:
The velocity vectors of the woman and the ship form the legs of a right triangle. The hypotenuse of that triangle is the vector representing the woman's speed relative to the water.
The magnitude of the resultant velocity can be found using the Pythagorean theorem.
r = √(3² +23²) = √538 ≈ 23.2
The given vectors are adjacent and opposite the angle of interest, so the tangent relation applies.
Tan = Opposite/Adjacent
tan(α) = 3/23
α = arctan(3/23) ≈ 7.4°
The woman's speed relative to the water is about 23.2 mi/h. Her direction is about 7.4° west of north.
Answer:
c = 18.47
Step-by-step explanation:
This would create a triangle in which the length of the wall would be the missing side. We can use the Pythagorean Theorem to find this:
1. +
=
2. +
=
3. 25 + 196 =
4. 221 =
5. = c
6. 18.47 = c
Answer:
120°.
Step-by-step explanation:
The sum of all interior angles in a polygon with sides (
,
) is equal to
. (Credit: Mathsisfun.)
The polygon here has 6 sides. . Its interior angles shall add up to
.
Consider the properties of a regular polygon. (Credit: Mathsisfun.)
There are six interior angles in a polygon with 6 sides. All six of them are equal. Thus, each of the six interior angle will be
.
Answer:
(A) 2 meter
Step-by-step explanation:
It is given that the ladder forms a 72º angle with the ground and rests against the house at a spot that is 6 meters high.
Let the measure of bottom of the ladder from the wall be x, then using the trigonometry, we have
≈
Thus, option A is correct.