In the diagram at the right, m∠C = 90°.
An equation to find the measure of ∠B is:
(select all that apply)
The base of a ladder is placed 14 feet away from a wall and reaches 32 feet high up on the wall. Round the answer to the nearest tenth or hundredth.
a. Draw a diagram of this scenario.
b. Solve for the length of the ladder.
c. What angle does the base of the ladder form with the ground?
Find the trigonometric ratios for angles r and s. Leave the answers as fractions.
sin r =
cos r =
tan r =
sin s =
cos s =
tan s =
Determine the measures of the angles to the nearest tenth of a degree in the right triangles below.
Determine the measure of ∡a.
Determine the measure of ∡b.
Explain how you were able to determine the measure of the unknown angle in part (a) or part (b).
A spring is attached to one end to support B and at the other end to collar A, as represented in the figure. Collar A slides along the vertical bar between points C and D. In the figure, the angle is the angle created as the collar moves between points C and D.
When θ=28°, what is the distance from point A to point B, to the nearest tenth of a foot?
When the spring is stretched and the distance from point A to point B is 5.2 feet, what is the value of Angle B to the nearest tenth of a degree?
The figure shows right △ABC.
Which of the listed values are equal to the sine of B?
Select all that apply.
Find the measure of Angle T.
Round to the nearest tenth.
A maintenance technician sights the top of a telephone pole at a 25 degree angle of elevation as shown.
Determine the horizontal distance between the technician and the base of the telephone pole to the nearest tenth of a foot.
A building casts a 100 ft long shadow on the ground. If the angle of elevation to the top of the building is 40°, how tall is the building?
Round to the nearest tenth.
In the three right triangles shown, Angle C=Angle F=Angle I = 36 degrees.
Fill in the blanks to finish the sentences below, using the bank of words given.
Word Bank:
AA Similarity, adjacent leg, ASA, congruent, cosine, CPCTC, GH/GI, GI/GH, hypotenuse, similar, sine, tangent
Because each triangle contains a right angles and a 36 degree angle, the triangles are
The proportion shows that the ratio of the length of the leg opposite the 36 degrees angle to the length of the