A tree is leaning at a 5° angle from vertical, making an 85° angle with the ground. When the sun is at a 65° angle of elevation, the tree casts a 25-foot shadow. What is the approximate length of the tree?
d = 25 ft is the length of a shadow. L - the length of a tree. Two angles are 85° and 65° and the third is 180° - ( 65° + 85° ) = = 180° - 150° = 30°. We will use the Sine Law: 25 / sin 30° = L / sin 65° 25 / 0.5 = L / 0.9063 25 * 0.9063 = 0.5 L 22.6577 = 0.5 L L = 22.6577 : 0.5 L = 45.3 ft. Answer: the approximate length of the tree is 45.3 ft.
