Engineering Board Exam Reviewer · Solutions to Right Triangles · medium
From the top of a 40-m cliff, the angle of depression of a boat on the sea is 25°. How far is the boat from the foot of the cliff, in meters?
- 18.65
- 85.78
- 94.65
- 36.25
Answer
B. 85.78
Solution
The angle of depression equals the angle of elevation from the boat, so d=40/ 25°=85.78 m.
More Solutions to Right Triangles questions
- In a right triangle the hypotenuse is 20 cm and one acute angle is 30°. Find the side opposite that angle, in cm.
- A vertical pole 6 m tall casts a shadow 8 m long on level ground. Find the angle of elevation of the sun, in degrees.
- From a point 50 m from the foot of a tower on level ground, the angle of elevation of the top is 35°. Find the height of the tower in…
- A 10-m ladder leans against a wall and makes an angle of 60° with the ground. How high up the wall does it reach, in meters?
- The legs of a right triangle are 9 cm and 12 cm. Find the hypotenuse in cm.
- ECE Board April 1994: Solve for the value of A when A = 3.5x and A = 5.5x.
- ME Board April 1991: A man standing on a 48.5 meter building high, has an eyesight height of 1.5 m from the top of the building, took a…
- ECE Board April 1998: A man finds the angle of elevation of the top of a tower to be 30°. He walks 85 m nearer the tower and finds its…
- ECE Board April 1994: A pole cast a shadow 15 m long when the angle of elevation of the sun is 61°. If the pole is leaned 15° from the…
- ME Board November 1994: A wire supporting a pole is fastened to it 20 feet from the ground and to the ground 15 feet from the pole…