Download Trigonometry Problems

Trigonometry Problems
Grade 10
Name _________________________
1. A man drives 500 m along a road which is inclined 20ºto the horizontal.
How high above his starting point is he?
Answer __________________
2. A tree, broken over by the wind, forms a right triangle with the ground. If the broken part makes
an angle of 50º with the ground and if the top of the tree is now 20 m from its base, how tall was
the tree?
Answer __________________
3. Two straight roads intersect to form an angle of 75º. Find the shortest distance from one road to
a gas station on the other road 1000 m from the junction
Answer __________________
4. Two buildings with flat roofs are 60 m apart. From the roof of the shorter building, 40 m in
height, the angle of elevation to the edge of the roof of the taller building is 40º.
How high is the taller building?
Answer __________________
5. A ladder, with its foot in the street, makes an angle of 30º with the street when its top rests on a
building on one side of the street and makes an angle of 40º with the street when its top rests on
a building on the other side of the street. If the ladder is 50 m long, how wide is the street?
Answer __________________
6. Find the perimeter of an isosceles triangle whose base is 40 cm. and whose base angle is 70º.
Answer __________________