1. A surveyor is trying to measure the distance across The Little Jay River. He can’t stretch a measuring tape across it (because it is too big), so he is going to use trigonometry to find the distance. He starts at point A along the bank of the river that is directly west of a point C. He walks 50 feet north along the bank to point B. He uses a special tool to find that the angle to point C is now 33°. Use this information to find the distance across the river.

2. Start the problem by making a picture and labeling what you know. AC 50ft B 33° x A surveyor is trying to measure the distance across The Little Jay River. He can’t stretch a measuring tape across it (because it is too big), so he is going to use trigonometry to find the distance. He starts at point A along the bank of the river that is directly west of a point C. He walks 50 feet north along the bank to point B. He uses a special tool to find that the angle to point C is now 33°. Use this information to find the distance across the river.

3. Start the problem by making a picture and labeling what you know. A C 50ft B 33° x What is the measure of angle A if we walked directly north? Now just solve for the x variable. From Angle 33, x is the ________ From Angle 33, 50 is the ________ opp adj So we are going to use the _______ tan 1 The river is 32.47 feet across.

4. There is a building with a door that is 3 feet off the ground. In order to accommodate all people that company built a 21.5 foot long ramp up to the door. Find the angle that the ramp makes with the ground.

5. Start the problem by making a picture and labeling what you know. There is a building with a door that is 3 feet off the ground. 3 ft In order to accommodate all people that company built a 21.5 foot long ramp up to the door. 21.5 ft Find the angle that the ramp makes with the ground. x What angle does the building make with the ground? From angle x, 3 is the ______ From angle x, 21.5 is the ______ opp hyp So we need to use ________ sin The angle the ramp makes with the ground is 8°