Answer: 51.9 degrees
Step by step explanation:
Sin(71)/35.6=Sin(x)/21.3
21.3Sin(71)=35.6Sin(x)
21.3Sin(71)/25.6=sin(x)
Sin^-1(21.3Sin(71)/25.6)=x
51.87827502 degrees=x
51.9= angle x
4x-2y=8 ==> y=2x-4 (to better show you what I mean)
2 lines are parallel if they have the same slope (m the coefficient of x).
So y=mx + b // y =2x-4 means m=2 & y=mx + b, becomes y=2x + b.
Moreover they are telling us that this function passes by (-2,1), where -2 represents x & 1, represents y. To calculate b , replace x & y by their values:
y=2x+b ==> 1 = 2(- 2) + b==> 1 = -4 + b ==> b= 5. Finally the equation is
y=-2x+5
3 1/4 inches is the mixed number
The distance from the kayak to the mountain to the nearest whole number is 43 meters.
The situation will form a right angle triangle as shown below in the diagram.
<h3>Properties of a right angle triangle:</h3>
- One of its angle is 90 degrees.
- The sides and angle can be found by using trigonometric ratios.
The height(opposite side) of the triangle is the kayak distance from the mountain to the lake below. The distance from the kayak to the mountain is the adjacent side of the triangle.
Therefore, using trigonometric ratios,
tan 35 = opposite / adjacent
tan 35° = 30 / a
a = 30 / tan 35°
a = 30 / 0.70020753821
a = 42.8444402023
a = 42.84 meters
a ≈ 43 meters
learn more on the angle of depression: brainly.com/question/13969247?referrer=searchResults