2. A surveyor uses a transit instrument that is 1.4 m off of the ground to measure the height of a hill that is along a planned path of a road. She measures the angle of elevation to the top of the hill to be 5.7°. She knows that the horizontal distance to the top of the hill is 775 m. How high does the current road surface need to climb to reach the top of the hill?

10. Two kids, Albert and Bhara, are 20.0 m apart. Albert sees a soccer ball 25.0 m away. If the angle between the line formed by Albert and Bhara and the line from Albert to the soccer ball is 25°, how far is Bhara from the soccer ball? Correctly round your answer to the nearest tenth of a meter.

What is the angle of elevation to the top of a vertical 140-foot antenna tower from a point 200-feet horizontally from the base

9. A surveyor is mapping a large marsh in a state park. He walks and measures a straight line south from a cliff for 0.75 mile to a large tree. He walks east, but he has to make a detour around the marsh. He gets around the marsh to a spot where he is perpendicular to the large tree and the trail he originally walked south on. He looks northwest and measures a 40° angle (ZA) northwest to the cliff from his line of sight to the large tree. He measures the distance back to the starting point at the cliff as 1.17 miles. What is the straight-line distance from the large tree east to ZA? What is the tangent of ZB , the angle at the cliff? Clff 0.75 mile 1.17 mile 40 Tree