The unknown sides of the right angle triangle using trigonometric ratios are as follows;
PR = 13.2 units
RQ = 17.6 units
<h3>What is a right angle triangle?</h3>
A right angle triangle is a triangle that has one of its angles as 90 degrees.
The sides of the triangle can be found using trigonometric ratios.
Therefore,
sin 37° = opposite / hypotenuse
sin 37° = PR / 22
cross multiply
PR = 22 sin 37
PR = 22 × 0.60181502315
PR = 13.2399305093
PR = 13.2 units
cos 37 = adjacent / hypotenuse
cos 37 = RQ / 22
RQ = 22 cos 37
RQ = 17.569981221
RQ = 17.6 units
learn more on right angle triangle here: brainly.com/question/3770177
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Answer:
37.8metres
Step-by-step explanation:
The arc of the arrow can be modeled by the equation:
y=-0.02x²+0.65x+4
Where x is the horizontal distance (in meters) from Linda and y is the height (in meters) of the arrow.
The arrow hits the ground when its height (y) is zero.
Therefore, we determine the value(s) of x for which:
y=-0.02x²+0.65x+4=0
Using a calculator to solve the quadratic equation:
x=37.79 or -5.29
Since the distance cannot be a negative value, we ignore -5.29.
The distance from Linda when the arrow hits the ground is 37.8metres (to the nearest tenth)
Given:
Volume of cuboid container = 2 litres
The container has a square base.
Its height is double the length of each edge on its base.
To find:
The height of the container.
Solution:
We know that,
1 litre = 1000 cubic cm
2 litre = 2000 cubic cm
Let x be the length of each edge on its base. Then the height of the container is:
The volume of a cuboid is:
Where, l is length, w is width and h is height.
Putting 
, we get
Divide both sides by 2.
Taking cube root on both sides.
![\sqrt[3]{1000}=x](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1000%7D%3Dx)
Now, the height of the container is:
Therefore, the height of the container is 20 cm.
B, because they go by fives
Answer:
0.14285714285
Hope this helps :)
Step-by-step explanation:
