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suter [353]
3 years ago
13

The angle of depression from the basketball hoop to Claire’s eyes is 9.2°. The vertical distance from the ground to Claire’s eye

s is 5.6 feet. Using the diagram, find the height of the basketball hoop to the nearest tenth.
Mathematics
1 answer:
Marrrta [24]3 years ago
8 0
<span>we will isolate that right triangle marked off with the little angle thing.
</span>We know that, in that right triangle, one of the legs measures 22 ft, and the angle (adjacent) to it, meausres 9.2 degreesIn this case, <span>tan9.2=<span>x/22</span></span><span> where x is that unkown length
</span>cross multiply.
<span>your final answer is equal to x+5.6</span>
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Can someone help please
REY [17]

Answer:

<em>HT </em>= 17

<<em>T</em> = 62°

<<em>H</em> = 28°

Step-by-step explanation:

1. Use the Pythagorean Theorem to find the length of the missing side.

a² + b² = c²

15² + 8² = c²

225 + 64 = c²

289 = c²

√289 = c

c = 17

The length of side HT is 17.

2. Use SOHCAHTOA to find the measure of <<em>T</em>. Since we know the measure of two sides, opposite (15) and adjacent (8), use the formula for tangent as tangent is opposite/adjacent.

Tangent = \frac{opposite}{adjacent}  = \frac{15}{8} = 1.875

Use the tan⁻¹ button on the calculator to find the value for <<em>T.</em>

tan⁻¹(1.875) = 61.9°

<<em>T = </em>62°

3. To find the measure of <<em>H, </em>you can either add up the two angles and subtract from 180° or use SOHCAHTOA.

90° + 61.9° + x = 180°

151.9° + x = 180°

x = 28°

or

We know two sides: opposite (8) and adjacent (15). So, we will use tangent.

Tangent = \frac{opposite}{adjacent} =  \frac{8}{15} = 0.5333333333

Take the tan⁻¹ to get the measure of <<em>H.</em>

tan⁻¹(0.5333333333) = 28.07 = 28°

Hope this helps. Please give a thanks and mark as brainliest. :)

6 0
3 years ago
1) x² 2(x+y) - y^2 <br>2) x^4+ x^2y^2+ y^4​
spin [16.1K]

Answer: 1) Let's simplify step-by-step.

x22(x+y)−y2

Distribute:

=(x22)(x)+(x22)(y)+−y2

=x23+x22y+−y2

Answer:

=x23+x22y−y2

2)Let's simplify step-by-step.

x4+x2y2+y4

There are no like terms.

Answer:

=x4+x2y2+y4

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Answer:

its 7/9

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

there are 9 digits.

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