AABC is an isosceles triangle, with ZA being the vertex angle.

Jason and Alison are hiking in the woods when they spot a rare owl in a tree. Jason stops and measures an angle of elevation of

Shalnov [3]

Answer:

$Owl= 67.14ft$

Step-by-step explanation:

<em>See comment for complete question.</em>

The given information is represented in the attached figure.

First convert 22°8'6'' and 30° 40’ 30” to degrees

$22^{\circ} 8'6'' = 22 + \frac{8}{60} + \frac{6}{3600}$

$22^{\circ} 8'6'' = 22.135^{\circ}$

$30^{\circ} 40'30'' = 30 + \frac{40}{60} + \frac{30}{3600}$

$30^{\circ} 40'30'' = 30.675^{\circ}$

Considering Jason's position:

$tan(22.135^{\circ}) = \frac{H}{x + 48}$

Where x = distance between the tree and Alison

Make H the subject

$H = (x + 48)tan(22.135^{\circ})$

Considering Alison's position

$tan(30.675^{\circ}) = \frac{H}{x}$

Make H the subject

$H = xtan(30.675^{\circ})$

$H = H$

$(x + 48)tan(22.135^{\circ}) = xtan(30.675^{\circ})$

$(x + 48) *0.4068 = x* 0.5932$

Open bracket

$x *0.4068 + 48 *0.4068 = 0.5932x$

$0.4068x + 19.5264 = 0.5932x$

Collect Like Terms

$-0.5932x+0.4068x = -19.5264$

$-0.1864x = -19.5264$

$0.1864x = 19.5264$

Make x the subject

$x = \frac{19.5264}{0.1864}$

$x = 104.76$

Substitute 104.76 for x in $H = xtan(30.675^{\circ})$

$H = 104.76 * tan(30.675^{\circ})$

$H = 104.76 * 0.5932$

$H = 62.14$

The above represents the height of the tree.

The height of the owl is:

$Owl= H + 5$

$Owl= 62.14 + 5$

$Owl= 67.14ft$

7 0

2 years ago

100 POINTS! ANSWER HAS TO BE CORRECT TO GET BRAINLIEST! HELP!

AleksandrR [38]

Answer:

<h2>∠Q corresponds with ∠Z</h2>

Step-by-step explanation:

form a graph
draw Δ ZNM and ΔPQR on either side of the y- axis
You reflect ΔZMN across the y- axis
Then you translate said triangle up the graph
The corresponding ∠'s will match and overlap.
m∠Q ≅ m∠Z as well as being a corresponding triangle

<h3>Brainliest please?</h3>

5 0

3 years ago

John Doe estimates that the price elasticity of demand for new SUVs to be 0.75. If the price of SUVs rose by 15%; would the quan

Charra [1.4K]

If the coefficient of demand for the SUV is 0.75 this means that it has a relatively inelastic demand since it is less than. In other words, there is only a little alteration in demand when prices change.
So when the price of SUV rise by 15%, and it has a coefficient of 0.75, we can anticipate only 11.25% decrease in its demand. This is for the reason that the SUVs do not have many substitutes for it.
So to solve:
(x/15%) = 0.75
Then simply solve for x:
x = (0.75)(0.15) = 11.25%

4 0

2 years ago

Maddie biked 8 3/4 miles today, and Chase bikes 3 1/2 miles. How many times the length of Chase’s bike ride was Maddie’s bike ri

borishaifa [10]

Answer: 2.5 times

Step-by-step explanation:

Given : The length of Chase’s bike ride= $8\dfrac{3}{4}\ miles$

The length of Maddie’s bike ride= $3\dfrac{1}{2}\ miles$

In improper fraction : Length of Chase’s bike ride= $\dfrac{4(8)+3}{4}\ miles$

$=\dfrac{35}{4}\ miles$

Similarly , Length of Maddie’s bike ride= $\dfrac{7}{2}\ miles$

The number of times the length of Chase’s bike ride was Maddie’s bike ride= $\dfrac{\text{ Length of Chase’s bike ride}}{\text{ Length of Maddie’s bike ride}}$

$=\dfrac{\dfrac{35}{4}}{\dfrac{7}{2}}\\\\=\dfrac{5}{2}=2.5$

Hence, the length of Chase’s bike ride was 2.5 times Maddie’s bike ride.

8 0

2 years ago

CX-D=A(X-Y) it’s technically not math it’s algebra

Zarrin [17]

algebra, is a type of math.

3 0

3 years ago