Mystery Questions: Right-Angled Triangles, Obtuse Angles, and Area

A

1

Find the value of h to 2dp.

2

Given that tan \theta=-2.3 and  \theta is an obtuse angle, find the value of  sin\theta .

3

A 5.8 m ladder leaning against a wall makes an angle of 72° with the ground.

Calculate, correct to one decimal place, the distance the ladder reaches up the wall.

4

Find the value of q to 2dp.

B

1

Find the value of theta to the nearest minute.

2

A triangle ABC has an area of  243m^2.

The length BC is 30.1m and \angleBCA=54.

What is the length of AC in metres, correct to

one decimal place?

3

The cosine ratio of an obtuse angle  \theta  is −0.7. What is the value of  \theta , correct to the nearest

minute?

4

Find the value of y correct to 1dp.

C

1

Find the value of d to the nearest whole number.

2

A kite with a string of length 120 m is 96 m above the ground. What is the size of the

angle the string makes with the horizontal?

3

Find the area of this triangle correct to the nearest square metre. 

4

BRAIN BREAK:

What word is being represented by this image?

D

1

Find the value of alpha to the nearest degree.

2

BRAIN BREAK:

You have two minutes to draw the best alpaca you can. Best drawing wins a prize.

3

A pole is supported by a wire that runs from the top of the pole to a point on the level ground 7.2 m from the base of the pole. The height of the pole is 5.6 m. Find the angle, to the nearest degree, that the wire makes with the ground.

4

Calculate the area of this triangle, correct to 2dp.