Name______
Block______
Right Triangle Test
True/False (3 points each)
1. If asked to give an answer in radical form it means to give the answer with a decimal.
a. False b. True
2. Pythagorean’s theorem can be used for all triangles.
a. False b. True
3. An angle of elevation is the angle formed by a horizontal line and the line of sight to an object above.
a. false b. true
4. In a 45-45-90 Triangle the hypotenuse equals the shorter leg times the square root of 3.
a. true b. false
5. In a 30-60-90 triangle the length of the hypotenuse is two times the shorter leg, and the longer leg equals the shorter leg times the square root of 3.
a. true b. false
Multiple Choice (5 points each) SHOW ALL WORK!!!! ( answers without work will not get full credit!)
1. Give the side that is the hypotenuse.
a. y b. z c. x d. none
2. Find the value of x. Round to the nearest tenth.
3. Find the value of y. Round to the nearest tenth.
a. 14 b. 12 c. 13.9 d. 10.4
4. Classify the triangle with sides 6, 9, and 10.
a. Isosceles b. Obtuse c. Acute D. Right
5. Find the area of the triangle in the picture.
a. 9ft2
b. 22.5ft2
c. 18ft 2
d. 3ft2
x
6. Write the sine ratio of < A for the following triangle
7. In the ratio tan 26°=. The “a”represents what part of the triangle?
a. opposite b. adjacent c. leg d. hypotenuse
8. If Tan (a)°=0.268 the measure of <a is
a. 15° b. 0.02° c. 74.5° d. 1°
9. Solve for d. sin 52°=
a. 1664 b. 19.7 c. 25.2 d. 41
10. Solve for the variable. Round to the nearest whole number.
a. 42° b. 30° c. 48° d. 34°
11. Calculate the length of side c.
a. 24 b. 16 c.1 6 d. 47
12. Find the values of each variable.
a. x=6, y=3
b. x=3, y=3
c. x=3, y=3
d.
13. Find the value of b.
a.
b. 3
c. 2
d.
14. Find the height of the tree to the nearest foot.
a. 11 ft
b. 14.7 ft
c. 594 ft
d. 136.1 ft
15. An airplane pilots sights a life raft at a 26o angle of depression. The airplane’s altitude is 3 km. What is the airplane’s surface distance d from the raft?
a. 6km b. 5km c. 3km d. 4km
Open-Response Questions (10 points). Show all work on the grid!!!!!
ORQ 1: “Ship to Shore”
A captain of a ship spots the top of a lighthouse at a 47° angle of elevation. He knows that the lighthouse is 70ft above the shoreline. How far is the ship from the shore?
a) Draw and label a picture to represent the lighthouse, shore, and angle of elevation.
b) Calculate the distance of the ship from the shore.
c) How far would the ship be from the shore of the angle of elevation was 55°?