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Olenka [21]
2 years ago
11

A ladder leans against the side of a house. The angle of elevation of the ladder is 66 degrees, and the top of the ladder is 15

ft above the ground. Find the distance from the bottom of the ladder to the side of the house. Round your answer to the nearest tenth.
Mathematics
1 answer:
skelet666 [1.2K]2 years ago
3 0

Answer:

x ≈ 6.7 ft

Step-by-step explanation:

We are going to use tan∅ to find our answer:

tan66° = 15/x

xtan66° = 15

x = 15/tan66°

x = 6.67843 ft

You might be interested in
Find the degree measure of each angle in the triangle
Karo-lina-s [1.5K]

Answer:

∠L = 43°

∠M = 121°

∠N = 16°

Step-by-step explanation:

<u>Start by setting all sides equal to 180</u>

3x - 5 + 7x + 9 + x = 180

<u>Add like terms</u>

11x + 4 = 180

<u>Solve for x</u>

11x + 4 = 180

      - 4     - 4

      11x = 176

     / 11     /11

        x = 16

<u>Now, plug in 16 for all instances of x on the triangle and solve.</u>

∠L = 43°

∠M = 121°

∠N = 16°

4 0
3 years ago
There are 10 girls and 8 boys in Mr Augellis class. If 5 more girls and 5 more boys join the class, will the ratio of girls to b
zimovet [89]
Yes they will stay the same
8 0
3 years ago
Celeste is making fruit baskets for a local hospital. The directions say to use 5 apples for every 6 oranges. Celeste is filling
MariettaO [177]

Answer:

A. Equivalent ratios of 5:6

We multiply both the numerator and the denominator by the same number, this way:

<u>10:12 , 15:18, 20:24, 25:30</u>

B. Equivalent ratios of 2:3

We multiply both the numerator and the denominator by the same number, this way:

<u>4:6 , 6:9, 8:12, 10:15, 12:18</u>

C. We have the same number of oranges at:

<u>10:12 and 8:12</u>

<u>15:18 and 12:18</u>

<u>Like Celeste decided not to follow the directions, she's actually using less apples than expected to fill the baskets.</u>

Step-by-step explanation:

1. Let's check all the information provided to answer the question correctly:

Ratio that the local hospital say to Celeste to use : 5 apples for every 6 oranges

Ratio that Celeste is actually using: 2 apples for every 3 oranges

2.  Complete the tables to find equivalent ratios.

A. Equivalent ratios of 5:6

We multiply both the numerator and the denominator by the same number, this way:

10:12 , 15:18, 20:24, 25:30

B. Equivalent ratios of 2:3

We multiply both the numerator and the denominator by the same number, this way:

4:6 , 6:9, 8:12, 10:15, 12:18

3. Circle two columns, one in each table, in which the number of oranges is the same.

We have the same number of oranges at:

10:12 and 8:12

15:18 and 12:18

Like Celeste decided not to follow the directions, she's actually using less apples than expected to fill the baskets.

8 0
3 years ago
Pls Help me with this answer
snow_lady [41]

Answer:

a. 5

b. -3

Step-by-step explanation:

a. (5*(8^1/3 + 27^1/3)^3)^1/4

= ((40^1/3 + 135^1/3)^3)^1/4

≈ ((3.42 + 5.13)^3)^1/4

≈ (8.55^3)^1/4

≈ 625^4

= 5

b. 64^-1/3*(64^1/3 - 64^2/3)

= 0.25*(4 - 16)

= 1/4 or 0.25 *-12

= -12*1 / 4

= -12/4

= -3

Hope this helped :3

8 0
3 years ago
In the six essential parts of a two-column proof, the "Proof" comes before the "Plan of the Proof."
marishachu [46]

Answer:

heyyy its false btw u is a cutie hmu in the comments

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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