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rosijanka [135]
3 years ago
15

A man is standing on top of a 400 ft. tall building. He sees two people approaching the building along a straight road. He sees

one person at an angle of depression of 6 degrees and the other at an angle of depression 11 degrees. Find the distance between the two people. (Round your answer to the nearest whole number.)
Mathematics
1 answer:
Marina CMI [18]3 years ago
5 0

Answer:

Draw a diagram. Then use tan(x) to find the remainder height of the taller building.

Step-by-step explanation:

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\frac{1}{8} \times 48 = \frac{48}{8} = \frac{6\times 8}{8} = \boxed{6}

The answer is 6.
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The answer is 16 , 24
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Can you find the number of triangles in this given figure.​
Sphinxa [80]

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19

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Given: C∉ BD ,△ABC D∈ ray BC ,AB=AC=BC Prove: BD&gt;DA&gt;AB
jonny [76]

Triangle ABC is equilateral, because AB=BC=AC=a. Then

m∠A=m∠B=m∠C=60°.

Let point D lie on the ray BC to the right from points B and C and let CD=x. Then BD=a+x, AB=a.

Consider triangle ACD. In this triangle, m∠ACD=180°-m∠ACB=180°-60°=120°.

By the cosine theorem,

AD^2=AC^2+CD^2-2\cdot AC\cdot CD\cdot \cos \angle ACD,\\\\AD^2=a^2+x^2-2\cdot a\cdot x\cdot \cos 120^{\circ},\\\\AD^2=a^2+x^2+ax,\\\\AD=\sqrt{a^2+x^2+ax}.

Since a^2+x^2+ax=a^2+x^2+ax+ax-ax=(a+x)^2-ax, then

AD^2=(a+x)^2-ax

and

AD^2=a^2+x^2+ax>a^2=AB^2\Rightarrow AD>AB.

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3 0
3 years ago
Interpret the 95% confidence interval for average BMI. What do the lower and upper bounds of the confidence interval tell us?
GaryK [48]

Answer:

(26.2252 ; 27.3748)

Step-by-step explanation:

The confidence interval is given by :

x ± Margin of error

The margin of error = Zcritical * (σ/√(n))

σ = 7.5 ; n = 654

Zcritical = Zα/2 = 1.96

The margin of error = 1.96 * (7.5/√654) = 0.5748

The confidence interval :

Upper boundary = 26.8 + 0.5748 = 27.3748

Lower boundary = 26.8 - 0.5748 = 26.2252

(26.2252 ; 27.3748)

We are 95% confident that the mean BMI of the entire population will fall in between (26.2252 ; 27.3748)

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