Solving Triangles Trig

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees.  Estimate the length of the ramp to the nearest tenth of an inch. 

• 4.1 inches

• 3.9 inches

• 22.7 inches 

• 0.7 inches 

A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is nearest to the height of the lighthouse? 

• 25 feet

• 45 feet 

• 110 feet 

• 135 feet 

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 

A tourist views a deer from a height of 45 feet.  The horizontal distance between the tourist and the deer is 130 feet.  At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.  

• 19 degrees

• 45 degrees

• 71 degrees

• 138 degrees 

Solve the right triangle.

Round all answers to the nearest whole number.

• 13

• 18

• 72

Find the missing side length. Round to the nearest tenth.

type in just the number

Mathematical Equivalence

ON

What method should be used to solve this triangle?

• Pythagorean Theorem

• Triangle Sum Theorem

• Trigonometry

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

f

g

h

i

j

e

10 units

7 units

14.3 units

12.2 units

8.2 units

Solve the right triangle. Round all answers to the nearest whole number.

• 13

• 18

• 72