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2 years ago

8

A 9 ft. ladder leans against the side of a house. The bottom of the ladder is 6 ft. from the side of the house. How high is the

top of the ladder from the ground? If necessary, round your answer to the nearest tenth.

1 answer:

erica [24]2 years ago

5 0

Answer:

15 ft

Step-by-step explanation:

I'm not sure but I think u add them together to get ur answer

hope it helps

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What percent of 111 is 94?

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3 years ago

Corey spies a bald eagle in a tall tree. He estimates the height of the tree to be 80 feet and the angle of elevation to the bir

shepuryov [24]

Answer:

<em>Corey stepped back 59.71 feet</em>

Step-by-step explanation:

<u>Right Triangles </u>

They are a special type of triangle where one of its internal angles is 90°. The basic trigonometric equations stand in this type of triangles. If x is the adjacent leg of a given angle $\theta$ , and y is the opposite leg to the same angle, then :

$\displaystyle tan\theta=\frac{y}{x}$

We can solve for x to get

$\displaystyle x=\frac{y}{tan\theta}$

Corey estimates the height of the tree to be 80 feet. This means we know y=80 and $\theta=68^o$ . Let's find the horizontal distance at which Corey is looking at the bald eagle:

$\displaystyle x_1=\frac{80}{tan68^o}$

$x_1=32.32\ feet$

Now Corey moves back to watch the very same tree at an elevation angle of 41°. The tree has the same height, so

$\displaystyle x_2=\frac{80}{tan41^o}$

$x_2=92.03\ feet$

Now we can know the distance Corey walked back by subtracting both distances

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$\boxed{\text{Corey stepped back 59.71 feet}}$

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3 years ago

The average speed on a certain highway is μ = 58 with a standard deviation of σ = 10. What portion of cars are traveling between

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The portion of cars traveling between 55and 65 mpg could be 59 card

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3 years ago

I need the answer asap

Lina20 [59]

Given:

$\angle A=5 x-18^{\circ}$

$\angle B=3 x+42^{\circ}$

To find:

The value of x and measure of angle A

Solution:

Alternate interior angle theorem:

If two parallel lines cut by a transversal, then the alternate interior angles are congruent.

⇒ m∠A = m∠B

$5x-18^\circ=3x+42^\circ$

Add 18° on both sides.

$5x-18^\circ+18^\circ=3x+42^\circ+18^\circ$

$5x=3x+60^\circ$

Subtract 3x from both sides.

$5x-3x=3x+60^\circ-3x$

$2x=60^\circ$

Divide by 2 on both sides.

⇒ x = 30°

Substitute x = 30° in ∠A.

m∠A = 5x - 18°

= 5(30°) - 18°

= 150° - 18°

= 132°

The measure of ∠A is 132°.

5 0

3 years ago