please and thank you! As shown in the figure below, Mary is standing 95 feet from the base of a leaning tree. The tree is growing at an angle of 80° with respect to the ground. The angle of elevation from where Mary is standing to the top of the tree is 47°. Find the length, \( x \), of the tree. Round your answer to the nearest tenth of a foot.---**Diagram Explanation:**The diagram features a right triangle formed by the ground, the line of sight from Mary to the top of the tree, and the tree itself. - Mary is positioned on the left.- The horizontal line (base) indicates her distance from the tree, which is 95 feet.- A diagonal line represents the angle of elevation (47°) from Mary to the top of the tree.- The vertical line represents the tree, which leans at an angle of 80° with respect to the ground.- \( x \) is the length of the tree, denoted as the hypotenuse of the right triangle formed.The goal is to solve for \( x \), utilizing trigonometric relationships in the context of the given angles and distance.

We can solve this by applying law of sines in the triangle formed by Mary , top and base of tree.

As shown in the figure below, Mary is standing 95 feet from the base of a leaning tree. The tree is growing at an angle of 80° with respect to the ground. The angle of elevation from where Mary is standing to the top of the tree is 47°. Find the length, x, of the tree. Round your answer to the nearest tenth of a foot. | feet 47° 80° -95 ft

As shown in the figure below, Mary is standing 95 feet from the base of a leaning tree. The tree is growing at an angle of 80° with respect to the ground. The angle of elevation from where Mary is standing to the top of the tree is 47°. Find the length, x, of the tree. Round your answer to the nearest tenth of a foot. | feet 47° 80° -95 ft

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