M^3-8n^3 factor the sum and difference
1 answer:
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Answer:
∠MSR is right angle
Step-by-step explanation:
It is given that RHOM is a Rhombus
Also ΔHOM, ΔMHR, ΔRHO and ΔOMR are isosceles triangles
Let us take ΔMSR and ΔRSH
∠MRS =∠HRS ( since it is given that the diagonal RO bisects ∠R)
∠RMS =∠RHS ( since Δ MRH is isosceles triangle )
RS = RS ( common side )
By AAS congruency rule ΔMSR ≅ ΔHSR
so we have
∠MSR=∠RSH ( corresponding parts of congruent triangles are congruent)
also we have
∠MSR +∠RSH =180° ( supplementary angles)
∠MSR +∠MSR=180° ( since ∠MSR=∠RSH)
2∠MSR= 180°
∠MSR =90°
Hence ∠MSR is right angle
Answer:
6.06 km
Step-by-step explanation:
The information given in the question can be represented by the three sides if a right angled triangle.
Let the direct line from the airplane to the start of the runway be represented by x. So that applying the appropriate trigonometric function, we have;
Cos θ =
Cos =
0.9903 =
⇒ x =
= 6.0588
x = 6.06 km
The direct line from the airplane to the stat of the runway is 6.06 km.