Answer:
The cosine of the angle is 4/5.
Step-by-step explanation:
An acute angle is between 0º and 90º, in the first quadrant of the trigonometric circle, in which both the sine and the cosine are positive values.
For each angle
, we have that:

We have that:

So




The cosine of the angle is 4/5.
D. When you do the math, the results to everything should be t=9. D is the only outlier. Therefore, D is the answer in this case.
Answer:
y= (3/2)x-3
Step-by-step explanation:
We need two points to find the equation of a line. Let's take (2,0) and (4, 3).
In the equation y=mx+b, m represents the slope. To find the slope, we can calculate the change in y/change in x. For (2,0) and (4,3), the change in y is 3-0=3 and the change in x is 4-2=2. Therefore, our slope is 3/2.
Then, in the equation y=mx+b, we can plug 3/2 in for m to get y = (3/2)x+b. To find b, we can plug one point in, such as (2.0), to get 0=(3/2)(2) + b, 0=3+b, and b=-3, making our equation
y= (3/2)x-3
Answer: 173.26 ft = 173 ft
Step-by-step explanation:
h tree: 76 ft
h man: 6 ft
As we can see on the sketch, they form a right triangle, so:
tan 22 = 76/y ⇒ 0.404 = 76/y ⇒ y = 76*0.404 ⇒ y = 188.11 ft
tan 22 = 6/x ⇒ 0.404 = 6/x ⇒ x = 6*0.404 ⇒ x = 14.85 ft
distance between the man and the tree = y - x = 188.11 - 14.85 = 173.26 ft