Trig Word Problems

Front

What is the angle of elevation?

Back

The angle of elevation is the angle formed by the horizontal line and the line of sight to an object above the horizontal line.

Tags

CCSS.7.G.B.5

Front

How do you calculate the angle of elevation in a right triangle?

Back

Use the tangent function: tan(angle) = opposite/adjacent.

Tags

CCSS.HSG.SRT.C.8

Front

What is the formula to find the length of the hypotenuse in a right triangle?

Back

Use the Pythagorean theorem: a² + b² = c², where c is the hypotenuse.

Tags

CCSS.8.G.B.8

Front

If a plane is 200 feet away from a building and 60 feet high, what is the angle of elevation?

Back

The angle of elevation can be calculated using tan(angle) = opposite/adjacent.

Tags

CCSS.HSG.SRT.C.8

Front

What is the relationship between angle of elevation and distance in word problems?

Back

The angle of elevation helps determine the height or distance in problems involving right triangles.

Tags

CCSS.HSG.SRT.C.8

Front

How do you find the distance traveled when given an angle of descent?

Back

Use the formula: distance = height / sin(angle).

Tags

CCSS.HSG.SRT.C.8

Front

What is the significance of the angle of elevation in real-life applications?

Back

It helps in navigation, construction, and various fields where height and distance measurements are needed.

Tags

CCSS.HSG.SRT.C.8

Front

How do you convert degrees to radians?

Back

Multiply degrees by π/180.

Tags

CCSS.HSF.TF.A.1

Front

What is the sine function in relation to a right triangle?

Back

Sine of an angle = opposite side / hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the cosine function in relation to a right triangle?

Back

Cosine of an angle = adjacent side / hypotenuse.

Tags

CCSS.HSG.SRT.C.6