Tangent Function Applications in Triangles

The video tutorial explains how to calculate the height of a building using the angle of elevation and distance from the base. It involves understanding a right triangle, applying the tangent function, and converting units from miles to feet. The tutorial also provides guidance on using a calculator to perform these calculations, ensuring the calculator is in degree mode. The final height is calculated to be approximately 627.7 feet.

What is the angle of elevation to the top of the building?

• 8 degrees

• 2 degrees

• 4 degrees

• 6 degrees

What is the distance from the base of the building to the point of observation?

• 1.6 miles

• 1.7 miles

• 1.5 miles

• 1.8 miles

In the right triangle formed, what does the height of the building represent?

• Hypotenuse

• Adjacent side

• Opposite side

• Base

Which trigonometric function is used to find the height of the building?

• Cotangent

• Tangent

• Cosine

• Sine

What is the formula used to calculate the height of the building in miles?

• 1.7 * tan(4 degrees)

• 1.7 * cos(4 degrees)

• 1.7 / tan(4 degrees)

• 1.7 * sin(4 degrees)

How do you convert the height from miles to feet?

• Multiply by 5280

• Divide by 5280

• Add 5280

• Subtract 5280

What is the approximate height of the building in miles?

• 0.4189 miles

• 0.3189 miles

• 0.2178 miles

• 0.1189 miles

What is the final height of the building in feet rounded to the tenths place?

• 627.6 feet

• 627.8 feet

• 627.5 feet

• 627.7 feet

What mode should the calculator be in to find the tangent of an angle?

• Decimal mode

• Degree mode

• Radian mode

• Gradient mode

What is the purpose of using the tangent function in this problem?

• To find the hypotenuse

• To find the adjacent side

• To find the opposite side

• To find the angle