I need an illustration and solution..plss..

Lauren was standing on the pier at the beach approach trying
to find her sister. She spotted her at the water’s edge
at an angle
of depression of 28°. If the pier is 5 yards above the sand, how far down
the beach is Lauren’s sister?

ð XAC = ð ACB (Angle of elevation= Angle of depression)

AB = 5 Yards

BC = ?

Now Tan C= AB/BC

BC = AB/ Tan C

BC = 5 / Tan 28 Yards

BC = 5/.531709 Yards

BC = 9.403632 Yards

Posted on Jan 10, 2009

Try checking this site for information on Angles of Depression and Elevation.

Posted on Feb 23, 2011

Assuming that the angle at A is the right angle, Pythagoras' theorem says that the length of the hypotenuse (the side opposite the right angle) is the square root of the sum of the squares of the other two sides. In your case, AB and AC are 'the other two sides' and BC is the hypotenuse, so:

__ __ __ __

/ 2 2 /

length BC = V 10 + 20 = V 100 + 400

__ __

= V 500 = 22.36 cm

(To find the angle at C, you need trigonometry and is arc-tan(10/20)

and the angle at B is arc-tan(20/10) - 26.5 deg and 63.5 deg)

/ 2 2 /

length BC = V 10 + 20 = V 100 + 400

= V 500 = 22.36 cm

(To find the angle at C, you need trigonometry and is arc-tan(10/20)

and the angle at B is arc-tan(20/10) - 26.5 deg and 63.5 deg)

Oct 17, 2014 | Educational & Reference Software

About 1930 feet.

If this is homework, make sure to show your work.

If this is homework, make sure to show your work.

Sep 24, 2013 | Educational & Reference Software

That would be 1199 / tan 72.2 or 385 ft

Sep 15, 2013 | Super Tutor Trigonometry (ESDTRIG) for PC

The tangent of an angle (in a right triangle) is defined to be the length of the side opposite the angle, divided by the length of the side adjacent to the angle (that is not the hypoteneuse). As the angle approaches 90 degrees, the length of the opposite side gets very large and the length of the adjacent side nears 0. At 90 degrees, the length of the adjacent side is 0, and division by 0 is not defined, so the tangent of 90 degrees is not defined.

Nov 26, 2010 | Texas Instruments World of Mathematics...

Solve for x

5x+3x+(-15) + 5 becomes 8x-10=180

move 10 from left to right and you get8x190

8x = 190

x = 23.75

so the first angle is (5*23.75)-15 = 103.75

and the second angle is (3*23.75) +5 = 76.25

check by adding 76.25+103.75 = 180

Make sense? I love math, let me know it you need more help

5x+3x+(-15) + 5 becomes 8x-10=180

move 10 from left to right and you get8x190

8x = 190

x = 23.75

so the first angle is (5*23.75)-15 = 103.75

and the second angle is (3*23.75) +5 = 76.25

check by adding 76.25+103.75 = 180

Make sense? I love math, let me know it you need more help

Mar 06, 2010 | SuperTutor Homeworkhelp.Com Super Tutor...

a2+b2=c2

a being your height, b is your distance from the airport and c is the distance from the airport to the plane........ so the answer is 5.385164807134504 miles

Pls Rate this post

a being your height, b is your distance from the airport and c is the distance from the airport to the plane........ so the answer is 5.385164807134504 miles

Pls Rate this post

Oct 08, 2009 | SoftMath Algebrator - Algebra Homework...

Given AC = 2675 feet

ð XAC= 14 degree

Therefore ð ACB = 14

Now Sin C= AB/AC

AB = AC . Sin C

AB = 2675 * Sin 14 feet

AB = 2675 * 0.241922 feet

AB = 647.1411 feet

ð XAC= 14 degree

Therefore ð ACB = 14

Now Sin C= AB/AC

AB = AC . Sin C

AB = 2675 * Sin 14 feet

AB = 2675 * 0.241922 feet

AB = 647.1411 feet

Jan 02, 2009 | Super Tutor Trigonometry (ESDTRIG) for PC

Hi Jehho soria

Draw a right triangle with the vertical portion of the triangle representing the 37 meters of the light house The base of the triangle is the distance we are trying to find. If the angle of depression is 15 degrees, the other angle is 75 degrees. This is the angle from the boat to the top of the lighthouse.

so The Tangent of 75 degrees is equal to the side opposite the angle (the height of the lighthouse) divided by the side adjacent (the distance we are trying to find.

solving for the distance we get distance = 37 divided by the tangent of 37 degrees

Looking up the tangent of 15 degrees on google give .2679

dividing 137 by .2679=138,1 meters

Hope this helps Loringh PS Please leave a rating for me.

Draw a right triangle with the vertical portion of the triangle representing the 37 meters of the light house The base of the triangle is the distance we are trying to find. If the angle of depression is 15 degrees, the other angle is 75 degrees. This is the angle from the boat to the top of the lighthouse.

so The Tangent of 75 degrees is equal to the side opposite the angle (the height of the lighthouse) divided by the side adjacent (the distance we are trying to find.

solving for the distance we get distance = 37 divided by the tangent of 37 degrees

Looking up the tangent of 15 degrees on google give .2679

dividing 137 by .2679=138,1 meters

Hope this helps Loringh PS Please leave a rating for me.

Nov 14, 2008 | Super Tutor Trigonometry (ESDTRIG) for PC

prove root 5 is irrational

Jul 11, 2008 | Parsons QuickVerse 7 Essentials (fe11044)...

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