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Svet_ta [14]
3 years ago
5

The figure shows the location of a golf ball after a tee shot. How many feet from the hole is the ball?

Mathematics
2 answers:
podryga [215]3 years ago
7 0

Answer:

<h2>The ball is 57 feet away from the ball.</h2>

Step-by-step explanation:

According to the image, the situation forms a right triangle, where its hypothenuse is 181 yards and one leg is 180 yards. Our job is to find the other leg of the right triangle, which we can find using the Pythagorean Theorem

a^{2}=b^{2}  +c^{2}

Where a is the hypothenuse, b and c represent the legs.

Replacing all given values, we have

181^{2}=180^{2}+x^{2}  \\x^{2} =181^{2}-180^{2}\\x=\sqrt{32,761-32,400}\\ x=\sqrt{361}\\ x=19

Now, we know that 1 yard equals 3 feet, so

19yd \times \frac{3ft}{1yd}= 57ft

Therefore, the ball is 57 feet away from the ball.

bixtya [17]3 years ago
6 0

Answer:

Il ressemble à 3 pieds

Step-by-step explanation:

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Answer:it the 3rd one

Step-by-step explanation:

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8 0
3 years ago
May you help me with this question please
Lostsunrise [7]

Answer:

<em>Option C</em>

Step-by-step explanation:

Consider each of these graphs. Let us formulate an inequality for each of them, and match the one with an inequality of x > - 14.5;

Graph 1, x > 13.5\\Graph 2, x \geq 14\\Graph 3, x > 14.5\\Graph 4, x \geq 15

Graph 3 is the only one that matches with the inequality provided to us.

* Note that shaded circles are represented by a greater / less than or equal to, and non - shaded circles are represented by a greater / less than sign.

<em>Solution ⇒ Graph 3</em>

5 0
3 years ago
Read 2 more answers
Triangle DEF (not shown) is similar to ABC shown, with angle B congruent to angle E and angle C congruent to angle F. The length
Bezzdna [24]

Answer:

Area of ΔDEF is 45\ cm^2.

Step-by-step explanation:

Given;

ΔABC and  ΔDEF is similar and ∠B ≅ ∠E.

Length of AB = 2\ cm and

Length of DE = 6\ cm

Area of ΔABC = 5\ cm^2

Solution,

Since, ΔABC and  ΔDEF is similar and ∠B ≅ ∠E.

Therefore,

\frac{Area\ of\ triangle\ 1}{Area\ of\ triangle\ 2} =\frac{AB^2}{DE^2}

Where triangle 1 and triangle 2 is  ΔABC and  ΔDEF respectively.

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

\frac{5}{Area\ of\ triangle\ 2} =\frac{2^2}{6^2}\\ \frac{5}{Area\ of\ triangle\ 2}=\frac{4}{36}\\ Area\ of\ triangle\ 2=\frac{5\times36}{4} =5\times9=45\ cm^2

Thus the area of  ΔDEF is 45\ cm^2.

4 0
3 years ago
Read 2 more answers
Choose the correct solution to 2x² - 7x = -5
anyanavicka [17]

Answer:

2

Step-by-step explanation:

8 0
3 years ago
A 12-meter ladder leans against a building forming a 30° angle with the building.
KatRina [158]

Answer:

will show you two (2) ways to solve this problem.

A diagram is needed to see what is going on....

 

Without loss of generality (WLOG)

The wall is on the right. The ladder leans against the wall

with a POSITIVE slope, from SW to NE (quadrant 3 to quadrant 1).

The measure from the bottom of the ladder to the wall is 6.

 

 

Option 1:

 

The ladder, ground and wall form a right triangle.

 

The hypotenuse (ladder) is 14 feet.

 

 The bottom of the ladder is 6 feet from the wall,

  so the base of this right triangle is 6 feet.

 

The top of the ladder to the ground represents

the missing leg of the right triangle.

 

The pythagorean theorem applies, which says

 6^2 + h^2 = 14^2   where h is the height

                                 of the top of the ladder to the ground

 

36 + h^2 = 196

 

 h^2 = 196 - 36

 

h^2  = 160

 

h = sqrt(160)

 

   = sqrt(16 * 10)

 

    = sqrt(16)* sqrt(10)

 

    = 4*sqrt(10) <--- exact answer

 

    = 4 * 3.16227766016838....

 

     = 12.64911....

 

    12.65 <--- rounded to 2 digits as directed

 

----------------------------------------------

Option #2: using trig

 

With respect to the angle formed by the bottom of the

ladder with the ground

  cos T = 6/14 = 3/7  

 T = inverse-cosine(3/7) = 64.623006647 degrees

 

 sin(64.623006647) = h/14

 

 h = 14*sin(64.62300647) = 12.6491106 <--- same answer                        

hope this helps

Step-by-step explanation:

5 0
3 years ago
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