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2 years ago

Select the correct answer from each drop-down menu.

Mathematics

1 answer:

Marta_Voda [28]2 years ago

5 0

Question 1

$m_{KL}=\frac{b-0}{a-0}=\boxed{\frac{b}{a}}$

Question 2

$m_{LM}=\frac{b-b}{3a-a}=\boxed{0}$

Question 3

KN is parallel to side LM

Both KN and LM have the same slope.

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Find the unknown side. Round you answer to the nearest tenth

Lyrx [107]

There isn’t a picture so I’m not sure how to answer

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3 years ago

The length of a shadow of a tree is 150 feet when the angle of elevation of the sun is 39°. Approximate the height of the tree.

fomenos

Answer:

The height of tree is approximately 121.5 feet.

Step-by-step explanation:

We are given following in question:

Length of shadow = 150 feet

Angle of elevation of the sun =

$\theta = 39^\circ$

The tree and the shadow forms a right angled triangle.

Thus, with the help of trigonometric relation, we can write:

$\tan \theta = \dfrac{\text{Height of tree}}{\text{Length of shadow}}$

Let x feet be the height of tree.

Putting all the values, we get,

$\tan 39^\circ = \dfrac{x}{150}\\\\0.80978 = \dfrac{x}{150}\\\\\Rightarrow x = 150\times 0.80978\\\Rightarrow x = 121.467 \approx 121.5$

Thus, the height of tree is approximately 121.5 feet.

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4 years ago

Patty made a banner that has an area of 196 square inches,. The length and width of the banner are whole numbers. The length is

QveST [7]

Lets say the width is W and the length is L,

So its W * L = 196

but we also know W*4 = L

which means we can substitute L for W * 4 so our equation will be

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3 years ago

Martha borrowed $4,508. She will pay the money back along with 3.5% interest. After a year, she has only paid back 75% of the lo

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3 years ago

A tower casts a shadow that is 60 feet long when the angle of elevation of the sun is 65 degrees. How tall is the tower?

Margaret [11]

Answer:

128.67 feet

Step-by-step explanation:

We would be solving this question using the Trigonometric function of tan.

Tan( of the angle of elevation) = height of the tower ÷ height of the shadow.

Angle of elevation = 65°

Height of the tower = unknown, which is designated as X

Height of the shadow = 60 feet.

Therefore,

tan 65° = X/ 60 feet

We crossmultiply

X = tan 65° × 60 feet

X = 128.67041523 feet.

Approximately, X = 128.67 feet.

Therefore, the tower is 128.67 feet tall.

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4 years ago

Read 2 more answers