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3 years ago

You see Bonnie rock climbing El Capitan. On your telescope is a clinometer. The angle

Mathematics

1 answer:

Marat540 [252]3 years ago

8 0

Answer:

≈ 345.8 ft

Step-by-step explanation:

There is a right triangle formed by Bonnie's height (h) the ground and the angle of elevation.

Using the tangent ratio in the right triangle

tan20° = $\frac{opposite}{adjacent}$ = $\frac{h}{950}$ ( multiply both sides by 950 )

950 × tan20° = h , thus

h ≈ 345.8 ft ( to 1 dec. place )

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Answer:

6 miles

Step-by-step explanation:

The formula to find the hypotenuse of a right triangle is as follows,

$\sqrt{a^{2} } +b^{2}$

The line is supposed to be longer on the rooting but it won't go any longer so we just have to make do.

Anyways, a is 1 side length and b is the other. Doesn't matter which one you make b or a.

Now you just plug in and solve

$\sqrt{9} +25$ (that's after you square it)

add them

$\sqrt{34}$

simplify

5.83095189485

you can just stop at the hundredths place

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You can estimate that it's about 6

and 6 is your answer

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2 years ago

What is 32767/32768 as a reduced fraction?

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Which point would be a solution to the system of linear inequalities ?

brilliants [131]

Answer:

(12,-6)

Step-by-step explanation:

we have

$y\leq \frac{4}{3}x+5$ ----> inequality A

$y\geq -\frac{5}{2}x+5$ ---> inequality B

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

<u><em>Verify each point</em></u>

Substitute the value of x and the value of y of each ordered pair in the inequality A and in the inequality B

case 1) (0,-1)

Inequality A

$-1\leq \frac{4}{3}(0)+5$

$-1\leq5$ ----> is true

Inequality B

$-1\geq -\frac{5}{2}(0)+5$

$-1\geq 5$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 2) (0,3)

Inequality A

$3\leq \frac{4}{3}(0)+5$

$3\leq5$ ----> is true

Inequality B

$3\geq -\frac{5}{2}(0)+5$

$3\geq 5$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 3) (-6,-6)

Inequality A

$-6\leq \frac{4}{3}(-6)+5$

$-6\leq-3$ ----> is true

Inequality B

$-6\geq -\frac{5}{2}(-6)+5$

$-6\geq 20$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 4) (12,-6)

Inequality A

$-6\leq \frac{4}{3}(12)+5$

$-6\leq21$ ----> is true

Inequality B

$-6\geq -\frac{5}{2}(12)+5$

$-6\geq -25$ ----> is true

therefore

The ordered pair is a solution of the system (makes true both inequalities)

8 0

3 years ago