Solving Word Problems with Trig

Jake built a skateboard ramp, if the distance of the ramp is 10 ft. The ramp rises a total of 3.5 ft. What angle does the ramp make with the ground? Round to the nearest degree.

• 19 degrees

• 20 degrees

• 28 degrees

• 35 degrees

A plane flying at 2000 ft altitude begins a 25 degree angle of descent to land. What is the distance the plane will travel before it lands?

• 4289 ft

• 932.6 ft

• 845.2 ft

• 4732.4 ft

After traveling 400m from a runway, a plane is 300m above the ground. Calculate its angle of elevation.

• 50
• 0.053
• 36.9
• 95

A 25ft ladder is leaning up against a wall. If the ladder makes a 63^o with the ground, how far is the base of the ladder from the wall?

• 12.4 ft
• 11.3 ft
• 22.3 ft
• 49.1 ft

Jill is a photographer and is taking a picture of a bird on a tree branch. If Jill stands 30 ft from the base of the tree and there is an angle of elevation to the bird of about 30 degree, how far is the bird from Jill so she can decide what kind of lens to use?

• 26 feet

• 35 feet

• 60 feet

• 15 feet

Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 

• 63 ft
• 65 ft
• 74 ft
• 87 ft

Solve for the missing angle.

• 50
• 0.053
• 36.9
• 95

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree.  The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse? 

• 7.5 ft 
• 15 ft 
• 26 ft 
• 30 ft 

From a point on the ground 47 feet from the foot of a tree, the angle of elevation of the top of the tree is 35º. Find the height of the tree to the nearest foot

• 27

• 33

• 38

• 67

An 8 foot metal guy wire is attached to a broken stop sign to secure its position until repairs can be made. Attached to a stake in the ground, the guy wire makes an angle of 51º with the ground. How far from the foot of the stop sign is the stake, to the nearest tenth of a foot?

• 5.0

• 6.2

• 6.9

• 9.9