Analysis: Applying Trig Functions & Right Triangles

An airplane approaches an airport. At a certain time, the plane is 1,020 meters high. Its angle of elevation measureed from the airport is 20.5 degrees. How far is the plane from the airport (to the nearest meter)?

• 2,728 meters

• 2,913 meters

• 1,089 meters

• 3 meters

Tags

CCSS.HSG.SRT.C.8

A wildlife biologist looks up at a 78 degree of elevation to see a flock of geese in the air. The biologist is standing 200 feet away from a place directly underneath the geese. How high are the geese flying (to the nearest tenth of a foot)?

• 195.6 feet

• 204.5 feet

• 940.9 feet

• 961.6 feet

Tags

CCSS.HSG.SRT.C.8

A fire ranger on a 150-foot-tall tower spots a fire at a 30 degree angle of depression. How many feet away from the tower is the fire (to the nearest tenth of a foot)?

• 86.6 feet

• 129.9 feet

• 259.8 feet

• 300 feet

Tags

CCSS.HSG.SRT.C.8

If 0⁰ ≤ x ≤ 360⁰, solve the equation tan x = -1.

• 135 degrees & 315 degrees

• 45 degrees & 225 degrees

• 45 degrees & 315 degrees

• 225 degrees & 315 degrees

Tags

CCSS.HSF.TF.B.7

If 0⁰ ≤ x ≤ 360⁰, solve the equation sec x = -2

• 150 degrees & 210 degrees

• 210 degrees & 330 degrees

• 120 degrees & 240 degrees

• 240 degrees & 300 degrees

Tags

CCSS.HSF.TF.B.7

Assuming an angle in Quadrant I, evaluate the following:

 $\csc\left(\cot^{-1}\ \frac{4}{3}\right)$  

•  $\frac{3}{5}$  

•  $\frac{5}{3}$  

•  $\frac{4}{5}$  

•  $\frac{5}{4}$  

Tags

CCSS.HSF.TF.A.2

Given the following image, find B to the nearest tenth of a degree if b = 10 and c = 14.

• 44.4 degrees

• 35.5 degrees

• 54.5 degrees

• 45.6 degrees

Tags

CCSS.HSG.SRT.C.8

Given the image, find the measure of angle A.

• 38.9 degrees

• 33.5 degrees

• 35.0 degrees

• 31.2 degrees

Tags

CCSS.HSG.SRT.C.8

Given the image, find the measure of the side indicated by x.

• 10.4

• 11.4

• 12.0

• 14.4

Tags

CCSS.HSG.SRT.C.8

Solve the triangle provided in the image.

• B = 68.4 degrees, b = 42.8, c = 44.8

• B = 69.2 degrees, b = 36.4, c = 44.8

• B = 73.0 degrees, b = 30.5, c = 44.8

• B = 73.0 degrees, b = 42.8, c = 44.8

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11