Roger is going cliff diving and is standing on the edge of a 46 ft high cliff. he can ee his two dogs on the beach below. from the same spot, the angle of depression to his dogs are 34 degrees and 48 degrees, how far apart are the dogs?

the distance between two dogs is 26.77921851 feet.

Step-by-step explanation:

Suppose Roget is standing on the edge of a 46 ft high cliff (AX). So AX = 46 feet.

He can see his two dogs on the beach below. From the same spot, the angle of depression to his dogs are 34 degrees (at point B) and 48 degrees (at point C).

It means ∠ABX = 34° and ∠ACX = 48°.

Considering Right triangle ΔAXB, cot(B) = XB / AX.

XB = AX*cot(B) = 46*cot(34°)

Considering Right triangle ΔAXC, cot(C) = XC / AX.

XC = AX*cot(C) = 46*cot(48°)

We know BC = XB-XC.

BC = 46*cot(34°) - 46*cot(48°)

BC = 46 * {cot(34°) - cot(48°)}

BC = 46 * 0.582156924

BC = 26.77921851 feet.

Hence, the distance between two dogs is 26.77921851 feet.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

answer: median

step-by-step explanation:

the median is the middle value when a data set is ordered from least to greatest