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BlackZzzverrR [31]
3 years ago
7

Can somebody help me with this. Will Mark brainliest.

Mathematics
1 answer:
frez [133]3 years ago
5 0

Answer:

X=reference angle, 8=opposite side, and 11 is the hypoteneuse

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A sailor is 30m above the water in the crow's nest on a sailboat. The sailor encounters an orca surface at an angle of depressio
Natali [406]

Given :

A sailor is 30 m above the water in the crow's nest on a sailboat.

The sailor encounters an orca surface at an angle of depression of 15 degrees.

The crows nest is 20 m horizontally from the bow (front) of the boat.

To Find :

How far in front of the boat is the orca.

Solution :

Let, distance of boat front from the crow's nest is x.

So,

\dfrac{30}{20+x}=tan \ 15^{\circ}\\\\x=\dfrac{30}{tan \ 15^{\circ}}-20\\\\x=111.94-20\\\\x=91.94\ m

Hence, this is the required solution.

4 0
3 years ago
421.2 - 305.8<br> Using mental math
Nitella [24]

Answer:

114.4

Step-by-step explanation:

421.2

-305.2

114.4

8 0
3 years ago
PLEASE PLEASE HELP ME ASAPPP
Ivenika [448]

Answer:

a. <u><em>14:45pm</em></u> (It's really easy to convert to a 24-hour clock time, all you need to do is add 12 hours onto the hour. Eg. 2 + 12 = 14 so it will be 14:45.pm

b. The length of time between 11:45am and 2:45pm is <em><u>3 hours.</u></em>

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8 0
2 years ago
Assume that the terminal side of thetaθ passes through the point (negative 12 comma 5 )(−12,5) and find the values of trigonomet
zmey [24]

Answer:

\sin \theta = \dfrac{5}{13} and \sec \theta = -\dfrac{13}{12}

Step-by-step explanation:

Assume that the terminal side of thetaθ passes through the point (−12,5).

In ordered pair (-12,5), x-intercept is negative and y-intercept is positive. It means the point lies in 2nd quadrant.

Using Pythagoras theorem:

hypotenuse^2=perpendicular^2+base^2

hypotenuse^2=(5)^2+(12)^2

hypotenuse^2=25+144

hypotenuse^2=169

Taking square root on both sides.

hypotenuse=13

In a right angled triangle

\sin \theta = \dfrac{opposite}{hypotenuse}

\sin \theta = \dfrac{5}{13}

\sec \theta = \dfrac{hypotenuse}{adjacent}

\sec \theta = \dfrac{13}{12}

In second quadrant only sine and cosecant are positive.

\sin \theta = \dfrac{5}{13} and \sec \theta = -\dfrac{13}{12}

6 0
4 years ago
Multiply. Simplify your answer. Write your final result as a whole number or a mixed number.
belka [17]
4³/₄ × 1¹/₂
¹⁹/₄ × ³/₂
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7¹/₈
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