Trigonometric Ratios

• Nov 9th 2008, 07:05 PM
Skoz
Trigonometric Ratios
1. A kite is flying 8.6m above the ground at an angle of elevation of 41 deg. Calculate the length of the string, to the nearest tenth of a meter needed to fly the kite.

2. From a position some distance away from the base of the flagpole, Julie estimates that the pole is 5.35m tall at an angle of elevation of 25 deg. If Julie is 1.55m tall (assume this is her eye level), use a trigonometric ratio to calculate how far she is from the base of the flagpole, to the nearest hundredth of a meter.
• Nov 9th 2008, 07:09 PM
11rdc11
Quote:

Originally Posted by Skoz
1. A kite is flying 8.6m above the ground at an angle of elevation of 41 deg. Calculate the length of the string, to the nearest tenth of a meter needed to fly the kite.

2. From a position some distance away from the base of the flagpole, Julie estimates that the pole is 5.35m tall at an angle of elevation of 25 deg. If Julie is 1.55m tall (assume this is her eye level), use a trigonometric ratio to calculate how far she is from the base of the flagpole, to the nearest hundredth of a meter.

For the first problem use

$\sin{41} = \frac{8.6m}{h}$

Solve for h
• Nov 9th 2008, 07:14 PM
Prove It
Quote:

Originally Posted by Skoz
1. A kite is flying 8.6m above the ground at an angle of elevation of 41 deg. Calculate the length of the string, to the nearest tenth of a meter needed to fly the kite.

2. From a position some distance away from the base of the flagpole, Julie estimates that the pole is 5.35m tall at an angle of elevation of 25 deg. If Julie is 1.55m tall (assume this is her eye level), use a trigonometric ratio to calculate how far she is from the base of the flagpole, to the nearest hundredth of a meter.

Draw a picture of what is happening in 2 and you should be able to figure it out.