From the top of a lighthouse the angle of depression of a speed boat is 35º. The boat is 134 meters from the base of the
lighthouse. Find the distance from the top of the lighthouse to the
boat.

Mason and christian go to the movie theater and purchase refreshments for their friends. mason spends a total of $45.75 on 3 bags of popcorn and 6 drinks. christian spends a total of $71.50 on 6 bags of popcorn and 4 drinks. write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. using these equations, determine and state the price of a drink, to the nearest cent.

Which equation can be used to calculate the area of the shaded triangle in the figure below? (5 points) 2(12 × 4) = 96 square feet (12 × 4) = 24 square feet 2(12 + 4) = 32 square feet (4 + 12) = 8 square feet

2. show that isometries of euclidean spaces preserve derivatives of vector fields.