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3 years ago

10

Find the area of the triangle that has a base of 16 yd and a height of 9 yd.

1 answer:

elena55 [62]3 years ago

7 0

Letter A Hope this helps

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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

3 years ago

Please help thank you

allochka39001 [22]

I think it's 20. Sorry if it's wrong

4 0

3 years ago

−5.2 + y = 7.5

klio [65]

Answer:

your answer is

d. y = 12.7

5 0

3 years ago

Read 2 more answers

A 943-foot tree has grown at a constant rate each year. In the equation below, t is the age of the three in years.

Mazyrski [523]

Answer:

B. 41 feet per year

Step-by-step explanation:

943/23= 41

Total feet / coefficient= feet per year

7 0

3 years ago

Read 2 more answers

find the derivative with respect to x of f(x)=4x , and use it to find the equation of the tangent line to y=4x at x= 5

seropon [69]

Answer:

F(x)=4X X=5

F(5)=4X

4(5)

20

Y=4(20)

Y=80

4 0

3 years ago