Question

the lower edge of a window in a house is 15 m above ground level.The angles of elevation of the top and bottom of the window are 27.4° and 23.25° respectively from a point K on level ground.Find the height of the window

Answer 1

Answer:

Step-by-step explanation:

 

Let space CD space be space the space house space on space the space opposite space side space of space the space street.

Let space the space height space of space the space house space CD equals space straight h space metres

Now comma

QD equals CD minus CQ equals CD minus AP equals left parenthesis straight h minus 15 right parenthesis space metres

In space triangle space PQC comma

tan space 45 degree equals QC over PQ

rightwards double arrow 1 equals 15 over PQ

rightwards double arrow PQ equals 15 space metres

In space triangle space PQD comma

tan space 30 degree equals QD over PQ

rightwards double arrow fraction numerator 1 over denominator square root of 3 end fraction equals fraction numerator straight h minus 15 over denominator 15 end fraction

rightwards double arrow straight h minus 15 equals fraction numerator 15 over denominator square root of 3 end fraction

rightwards double arrow straight h equals 15 plus fraction numerator 15 over denominator square root of 3 end fraction

rightwards double arrow straight h equals 15 plus 5 square root of 3

rightwards double arrow straight h equals 5 open parentheses 3 plus square root of 3 close parentheses equals 5 open parentheses 3 plus 1.732 close parentheses equals 5 cross times 4.732 equals 23.66 space metres. end style

Answer 2

Answer:

Step-by-step explanation: