We can answer the question above by using the trigonometric functions and the concept of similar triangles. Given that cos (L) is 4/5. The length of sides PN and NL can be solved. Please see solution below. 4/5 = NL / 15 ; NL = 12 Solving for PN, PN² + 12² = 15² The value of PN is 9. Then, using the concept of similar triangles, KN/(KN + NL) = PN/ KM Substituting the known values, 4/(4 + 12) = 9 / KM The value of KM is 36.
A. The ratio of the person's shadow to their height is 6:2 or 3:1, so the height of the shadow is 360/3 or 120 m. B. The model car's length divided by the ratio to the real car, which is 8.5/0.8 = 10.625 cm long.